Search is not available for this dataset
time_since_start
sequencelengths
50
264
dim_process
int64
3
3
time_since_last_event
sequencelengths
50
264
seq_len
int64
50
264
seq_idx
int64
0
20k
type_event
sequencelengths
50
264
[ 0, 4, 5, 22, 31, 32, 66, 97, 98, 127, 251, 338, 368, 372, 385, 386, 406, 417, 432, 532, 559, 579, 612, 613, 690, 713, 713, 793, 842, 962, 1006, 1032, 1058, 1130, 1160, 1201, 1383, 1414, 1460, 1487, 1539, 1671, 1725, 1796, 1853, 1894, 1948, 2122, 2191, 2240, 2427, 3182, 3431, 3600, 3624, 3724, 3798, 3801, 3976, 4586, 4707, 4720, 7108, 8336, 9033, 9840, 9943, 12045, 12802, 14579, 15169, 15263, 15555, 17802, 20660, 20660, 25102, 28552, 29590, 31006, 31290, 31320, 34519, 34632, 34752, 34982, 35870, 37312, 37496, 41555, 58488, 129150, 225027 ]
3
[ 0, 4, 1, 17, 9, 1, 34, 31, 1, 29, 124, 87, 30, 4, 13, 1, 20, 11, 15, 100, 27, 20, 33, 1, 77, 23, 0, 80, 49, 120, 44, 26, 26, 72, 30, 41, 182, 31, 46, 27, 52, 132, 54, 71, 57, 41, 54, 174, 69, 49, 187, 755, 249, 169, 24, 100, 74, 3, 175, 610, 121, 13, 2388, 1228, 697, 807, 103, 2102, 757, 1777, 590, 94, 292, 2247, 2858, 0, 4442, 3450, 1038, 1416, 284, 30, 3199, 113, 120, 230, 888, 1442, 184, 4059, 16933, 70662, 95877 ]
93
4,400
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 25, 69, 130, 150, 195, 202, 223, 260, 266, 269, 272, 302, 365, 447, 526, 569, 589, 617, 647, 718, 749, 804, 843, 898, 920, 954, 1152, 1288, 1447, 1525, 1548, 1587, 1622, 1663, 1690, 1755, 1829, 1894, 2108, 2176, 2215, 2308, 2428, 2686, 2796, 3392, 3678, 3678, 3784, 3964, 4135, 4707, 5363, 6132, 6143, 6575, 7191, 7341, 7597, 7706, 9583, 10510, 11543, 11565, 12003, 12161, 12695, 17542, 20647, 25386, 40067, 42269, 49091, 77473, 87644, 89914, 125542, 294239, 339414, 475329 ]
3
[ 0, 25, 44, 61, 20, 45, 7, 21, 37, 6, 3, 3, 30, 63, 82, 79, 43, 20, 28, 30, 71, 31, 55, 39, 55, 22, 34, 198, 136, 159, 78, 23, 39, 35, 41, 27, 65, 74, 65, 214, 68, 39, 93, 120, 258, 110, 596, 286, 0, 106, 180, 171, 572, 656, 769, 11, 432, 616, 150, 256, 109, 1877, 927, 1033, 22, 438, 158, 534, 4847, 3105, 4739, 14681, 2202, 6822, 28382, 10171, 2270, 35628, 168697, 45175, 135915 ]
81
4,401
[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1 ]
[ 0, 1, 2, 4, 6, 7, 7, 8, 10, 13, 14, 15, 16, 17, 18, 21, 22, 26, 27, 28, 29, 31, 32, 33, 34, 37, 38, 39, 40, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 51, 52, 52, 53, 57, 59, 61, 62, 64, 66, 67, 69, 70, 72, 72, 73, 74, 76, 77, 78, 80, 82, 84, 85, 87, 88, 89, 91, 92, 93, 97, 102, 103, 105, 107, 107, 110, 111, 115, 116, 117, 119, 120, 122, 123, 125, 125, 127, 128, 128, 129, 131, 133, 134, 135, 136, 138, 141, 143, 144, 145, 146, 148, 149, 149, 151, 152, 153, 154, 154, 155, 159, 161, 162, 162, 163, 164, 165, 166, 167, 169, 171, 172, 173, 174, 177, 180, 182, 183, 183, 185, 189, 194, 195, 197, 197, 200, 200, 201, 202, 203, 204, 204, 205, 206, 207, 209, 210, 211, 212, 212, 215, 217, 218, 219, 219, 220, 221, 222, 224, 225, 226, 228, 229, 231, 235, 235, 237, 237, 239, 240, 241, 242, 243, 244, 245, 246, 248, 248, 423, 5486 ]
3
[ 0, 1, 1, 2, 2, 1, 0, 1, 2, 3, 1, 1, 1, 1, 1, 3, 1, 4, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 4, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 4, 5, 1, 2, 2, 0, 3, 1, 4, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 3, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 4, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 1, 0, 2, 4, 5, 1, 2, 0, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 3, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 175, 5063 ]
181
4,402
[ 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1 ]
[ 0, 2, 3, 4, 10, 11, 11, 12, 14, 18, 19, 20, 21, 21, 23, 24, 30, 31, 31, 32, 33, 37, 38, 43, 45, 45, 48, 48, 49, 50, 51, 54, 56, 57, 57, 59, 60, 63, 63, 67, 69, 70, 71, 72, 73, 75, 76, 78, 78, 78, 82, 83, 83, 84, 87, 88, 90, 90, 95, 96, 98, 101, 103, 104, 107, 108, 108, 109, 112, 117, 119, 121, 122, 123, 123, 132, 132, 138, 138, 138, 139, 154, 156, 156, 167, 173, 179, 187, 188, 189, 190, 191, 191, 192, 195, 202, 206, 215, 224, 229, 230, 260, 269, 274, 280, 283, 285, 288, 297, 306, 309, 312, 334, 342, 367, 381, 383, 404, 409, 423, 430, 454, 475, 481, 488, 504, 528, 553, 575, 582, 591, 593, 625, 632, 650, 664, 710, 713, 725, 744, 761, 796, 814, 923, 950, 975, 1071, 1091, 1111, 1184, 1186, 1481, 1548, 1661, 1700, 1810, 1881, 1930, 1949, 2115, 2195, 2226, 2229, 2246, 2400, 2513, 2546, 2956, 2987, 3111, 3245, 3343, 3508, 3769, 3846, 3877, 3946, 4300, 4460, 4497, 4634, 5384, 5493, 6222, 7580, 7876, 10079, 10974, 12331, 15133, 20956, 21695, 35911, 47785, 47927, 49318, 53848, 54194, 59961, 61145, 61632, 61713, 63584, 64374, 71016, 72203, 74525, 76174, 76372, 77529, 77697, 79858, 85445, 86239, 86972, 87617, 87664, 110209, 123736, 139662, 139739, 147404, 150100, 151355, 152146, 152754, 155985, 160124, 160388, 162087, 173749, 251424, 301514, 323612, 372523, 455144 ]
3
[ 0, 2, 1, 1, 6, 1, 0, 1, 2, 4, 1, 1, 1, 0, 2, 1, 6, 1, 0, 1, 1, 4, 1, 5, 2, 0, 3, 0, 1, 1, 1, 3, 2, 1, 0, 2, 1, 3, 0, 4, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 4, 1, 0, 1, 3, 1, 2, 0, 5, 1, 2, 3, 2, 1, 3, 1, 0, 1, 3, 5, 2, 2, 1, 1, 0, 9, 0, 6, 0, 0, 1, 15, 2, 0, 11, 6, 6, 8, 1, 1, 1, 1, 0, 1, 3, 7, 4, 9, 9, 5, 1, 30, 9, 5, 6, 3, 2, 3, 9, 9, 3, 3, 22, 8, 25, 14, 2, 21, 5, 14, 7, 24, 21, 6, 7, 16, 24, 25, 22, 7, 9, 2, 32, 7, 18, 14, 46, 3, 12, 19, 17, 35, 18, 109, 27, 25, 96, 20, 20, 73, 2, 295, 67, 113, 39, 110, 71, 49, 19, 166, 80, 31, 3, 17, 154, 113, 33, 410, 31, 124, 134, 98, 165, 261, 77, 31, 69, 354, 160, 37, 137, 750, 109, 729, 1358, 296, 2203, 895, 1357, 2802, 5823, 739, 14216, 11874, 142, 1391, 4530, 346, 5767, 1184, 487, 81, 1871, 790, 6642, 1187, 2322, 1649, 198, 1157, 168, 2161, 5587, 794, 733, 645, 47, 22545, 13527, 15926, 77, 7665, 2696, 1255, 791, 608, 3231, 4139, 264, 1699, 11662, 77675, 50090, 22098, 48911, 82621 ]
236
4,403
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0 ]
[ 0, 20, 110, 170, 218, 242, 248, 380, 646, 673, 690, 939, 1023, 1095, 1283, 1383, 1443, 1454, 1490, 1506, 1512, 1515, 1519, 1519, 1522, 1524, 1550, 1554, 1579, 1591, 1600, 1613, 1619, 1640, 1726, 1727, 1733, 1766, 1809, 1818, 1819, 1872, 1904, 1977, 1981, 1991, 2012, 2026, 2092, 2169, 2179, 2398, 2411, 2457, 2476, 2522, 2562, 2717, 3002, 3031, 3045, 3052, 3416, 3416, 3484, 3525, 3631, 3708, 3859, 4310, 4326, 4898, 4981, 5303, 5409, 5533, 5803, 5846, 5982, 6034, 6363, 6611, 6778, 7707, 9568, 9948, 10379, 14316, 15567, 20347, 29922, 43280, 43494, 45022, 47564, 49229, 68918, 394096 ]
3
[ 0, 20, 90, 60, 48, 24, 6, 132, 266, 27, 17, 249, 84, 72, 188, 100, 60, 11, 36, 16, 6, 3, 4, 0, 3, 2, 26, 4, 25, 12, 9, 13, 6, 21, 86, 1, 6, 33, 43, 9, 1, 53, 32, 73, 4, 10, 21, 14, 66, 77, 10, 219, 13, 46, 19, 46, 40, 155, 285, 29, 14, 7, 364, 0, 68, 41, 106, 77, 151, 451, 16, 572, 83, 322, 106, 124, 270, 43, 136, 52, 329, 248, 167, 929, 1861, 380, 431, 3937, 1251, 4780, 9575, 13358, 214, 1528, 2542, 1665, 19689, 325178 ]
98
4,404
[ 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 2, 4, 13, 20, 27, 42, 45, 47, 53, 69, 74, 76, 80, 86, 88, 88, 90, 104, 110, 110, 114, 119, 134, 136, 152, 160, 160, 168, 169, 176, 182, 199, 205, 207, 224, 225, 329, 331, 331, 332, 338, 356, 396, 405, 425, 446, 457, 477, 481, 495, 498, 517, 582, 583, 595, 666, 703, 755, 776, 783, 820, 825, 847, 866, 941, 960, 1080, 1189, 1216, 1252, 1300, 1357, 1360, 1415, 1419, 1486, 1536, 1576, 1576, 1607, 1704, 1781, 1837, 1851, 1931, 1953, 2139, 2932, 2955, 3911, 3948, 4306, 5609, 5824, 7207, 9488, 9886, 14161, 17833, 21640, 23011, 28657, 29288, 42059, 121195, 203995, 391935, 418309, 421949, 439975, 449466 ]
3
[ 0, 2, 2, 9, 7, 7, 15, 3, 2, 6, 16, 5, 2, 4, 6, 2, 0, 2, 14, 6, 0, 4, 5, 15, 2, 16, 8, 0, 8, 1, 7, 6, 17, 6, 2, 17, 1, 104, 2, 0, 1, 6, 18, 40, 9, 20, 21, 11, 20, 4, 14, 3, 19, 65, 1, 12, 71, 37, 52, 21, 7, 37, 5, 22, 19, 75, 19, 120, 109, 27, 36, 48, 57, 3, 55, 4, 67, 50, 40, 0, 31, 97, 77, 56, 14, 80, 22, 186, 793, 23, 956, 37, 358, 1303, 215, 1383, 2281, 398, 4275, 3672, 3807, 1371, 5646, 631, 12771, 79136, 82800, 187940, 26374, 3640, 18026, 9491 ]
112
4,405
[ 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1 ]
[ 0, 13, 27, 34, 36, 48, 68, 72, 75, 76, 76, 76, 76, 77, 107, 113, 120, 124, 144, 172, 185, 186, 228, 241, 244, 244, 250, 258, 264, 279, 303, 332, 362, 369, 376, 411, 428, 435, 527, 528, 594, 671, 763, 811, 848, 867, 979, 979, 1068, 1575, 1766, 1939, 2151, 2276, 2325, 3382, 3579, 4009, 9656, 10152, 10174, 10733, 12373, 12959, 17012, 17406, 17465, 18266, 18454, 18693, 19790, 19890, 24866, 28362, 29532, 30929, 32000, 32660, 38556, 40048, 78838, 90718, 100510, 193452, 194072, 206991, 238377, 278810, 301335, 357849, 443306 ]
3
[ 0, 13, 14, 7, 2, 12, 20, 4, 3, 1, 0, 0, 0, 1, 30, 6, 7, 4, 20, 28, 13, 1, 42, 13, 3, 0, 6, 8, 6, 15, 24, 29, 30, 7, 7, 35, 17, 7, 92, 1, 66, 77, 92, 48, 37, 19, 112, 0, 89, 507, 191, 173, 212, 125, 49, 1057, 197, 430, 5647, 496, 22, 559, 1640, 586, 4053, 394, 59, 801, 188, 239, 1097, 100, 4976, 3496, 1170, 1397, 1071, 660, 5896, 1492, 38790, 11880, 9792, 92942, 620, 12919, 31386, 40433, 22525, 56514, 85457 ]
91
4,406
[ 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1 ]
[ 0, 105, 140, 143, 152, 163, 171, 192, 280, 385, 407, 408, 419, 430, 442, 445, 468, 468, 601, 614, 630, 649, 663, 679, 743, 819, 1149, 1326, 1735, 1830, 2431, 2556, 3496, 4068, 4608, 5689, 6284, 16526, 28460, 32591, 41996, 44753, 49592, 49782, 49811, 49815, 49864, 49929, 49964, 50020, 50296, 50338, 50364, 50408, 50417, 50501, 50507, 50511, 50564, 50596, 50689, 50764, 50883, 50925, 51256, 51307, 51417, 51443, 51468, 51490, 51509, 51535, 51667, 51727, 51798, 51827, 51843, 52016, 52375, 52452, 53749, 54014, 85514, 85548, 85606, 85620, 85672, 85716, 85955, 86126, 86143, 86143, 86154, 86170, 86186, 86191, 86201, 86245, 86250, 86252, 86264, 86277, 86281, 86407, 86443, 86448, 86455, 86480, 86495, 86506, 86516, 86530, 86543, 86552, 86567, 86569, 86615, 86637, 86664, 86689, 86776, 86970, 87128, 87166, 87171, 87472, 87646, 87916, 88215, 88844, 94862, 100283, 103687, 118018, 120333, 120563, 251605, 270500, 306727, 306750, 306783, 306784, 306802, 306813, 306837, 306844, 306846, 306868, 306886, 306956, 306981, 307322, 307387, 307397, 307418, 307420, 307525, 307695, 307778, 313151, 318997, 375259, 375284, 375290, 375393, 375423, 375565, 375660, 375729, 376033, 379149, 379955, 383982, 384245, 384448, 384572, 384998, 440526, 441046, 468158, 482878, 482898, 483048, 483053, 483061, 483161, 483164, 483905, 484227, 484758, 485556, 486212, 486547, 487362, 489076, 495134 ]
3
[ 0, 105, 35, 3, 9, 11, 8, 21, 88, 105, 22, 1, 11, 11, 12, 3, 23, 0, 133, 13, 16, 19, 14, 16, 64, 76, 330, 177, 409, 95, 601, 125, 940, 572, 540, 1081, 595, 10242, 11934, 4131, 9405, 2757, 4839, 190, 29, 4, 49, 65, 35, 56, 276, 42, 26, 44, 9, 84, 6, 4, 53, 32, 93, 75, 119, 42, 331, 51, 110, 26, 25, 22, 19, 26, 132, 60, 71, 29, 16, 173, 359, 77, 1297, 265, 31500, 34, 58, 14, 52, 44, 239, 171, 17, 0, 11, 16, 16, 5, 10, 44, 5, 2, 12, 13, 4, 126, 36, 5, 7, 25, 15, 11, 10, 14, 13, 9, 15, 2, 46, 22, 27, 25, 87, 194, 158, 38, 5, 301, 174, 270, 299, 629, 6018, 5421, 3404, 14331, 2315, 230, 131042, 18895, 36227, 23, 33, 1, 18, 11, 24, 7, 2, 22, 18, 70, 25, 341, 65, 10, 21, 2, 105, 170, 83, 5373, 5846, 56262, 25, 6, 103, 30, 142, 95, 69, 304, 3116, 806, 4027, 263, 203, 124, 426, 55528, 520, 27112, 14720, 20, 150, 5, 8, 100, 3, 741, 322, 531, 798, 656, 335, 815, 1714, 6058 ]
196
4,407
[ 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 4, 10, 21, 27, 28, 29, 37, 41, 98, 100, 103, 114, 123, 128, 135, 138, 154, 168, 178, 190, 211, 304, 304, 324, 341, 352, 376, 591, 720, 734, 877, 1105, 1487, 1873, 2147, 2691, 3469, 3551, 3573, 3689, 3730, 4116, 4213, 4779, 5694, 5913, 6045, 6515, 6997, 7008, 8625, 9387, 9635, 14048, 22974, 25858 ]
3
[ 0, 4, 6, 11, 6, 1, 1, 8, 4, 57, 2, 3, 11, 9, 5, 7, 3, 16, 14, 10, 12, 21, 93, 0, 20, 17, 11, 24, 215, 129, 14, 143, 228, 382, 386, 274, 544, 778, 82, 22, 116, 41, 386, 97, 566, 915, 219, 132, 470, 482, 11, 1617, 762, 248, 4413, 8926, 2884 ]
57
4,408
[ 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1 ]
[ 0, 1, 2, 5, 6, 7, 8, 11, 12, 15, 16, 17, 18, 20, 21, 25, 26, 28, 28, 30, 31, 32, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 53, 55, 56, 58, 59, 62, 65, 67, 68, 70, 71, 72, 73, 75, 76, 77, 79, 82, 83, 84, 86, 87, 88, 89, 90, 91, 93, 99, 100, 102, 103, 105, 108, 110, 110, 114, 115, 117, 118, 120, 122, 123, 124, 125, 125, 126, 127, 129, 130, 131, 132, 133, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 148, 149, 151, 151, 153, 157, 158, 159, 160, 161, 161, 163, 163, 165, 167, 168, 169, 170, 176, 179, 180, 181, 184, 191, 204, 205, 207, 208, 210, 211, 212, 213, 214, 215, 216, 217, 217, 219, 220, 221, 223, 224, 226, 229, 229, 230, 231, 232, 233, 234, 236, 238, 240, 241, 244, 244, 248, 249, 250, 251, 254, 256, 257, 259, 260, 261, 263, 265, 266, 268, 271, 272, 272, 273, 274, 275, 275, 3280, 4175 ]
3
[ 0, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 2, 1, 4, 1, 2, 0, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 3, 3, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 2, 6, 1, 2, 1, 2, 3, 2, 0, 4, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 4, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 6, 3, 1, 1, 3, 7, 13, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 3, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 0, 4, 1, 1, 1, 3, 2, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 0, 1, 1, 1, 0, 3005, 895 ]
182
4,409
[ 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2 ]
[ 0, 1, 3, 18, 19, 20, 20, 21, 24, 26, 27, 28, 33, 34, 40, 42, 43, 43, 59, 61, 74, 76, 93, 114, 116, 118, 188, 193, 197, 234, 234, 248, 274, 278, 285, 310, 315, 379, 404, 414, 427, 434, 434, 435, 527, 592, 619, 666, 679, 737, 818, 872, 873, 949, 1020, 1090, 1103, 1194, 1238, 1246, 1453, 1552, 1588, 1636, 1743, 2476, 3006, 3142, 3512, 3741, 3948, 4155, 4834, 5379, 7408, 8475, 9031, 14129, 14429, 14547, 14629, 16860, 16926, 17444, 18438, 18725, 19256, 20048, 21868, 23990, 24427, 24728, 24955, 26054, 28184, 29484, 30324, 34146, 34968, 35647, 36049, 39110, 39146, 40952, 42663, 43006, 43353, 43379, 43485, 43754, 44066, 44276, 44669, 44958, 45703, 47467, 47517, 50426, 62417, 64257, 67002, 67057, 76239, 89373, 90090, 90259, 90847, 92154, 93682, 95102, 102429, 127180, 139574, 155633, 181378, 197582, 239318, 259666, 264940, 305257, 334361, 388531, 427217 ]
3
[ 0, 1, 2, 15, 1, 1, 0, 1, 3, 2, 1, 1, 5, 1, 6, 2, 1, 0, 16, 2, 13, 2, 17, 21, 2, 2, 70, 5, 4, 37, 0, 14, 26, 4, 7, 25, 5, 64, 25, 10, 13, 7, 0, 1, 92, 65, 27, 47, 13, 58, 81, 54, 1, 76, 71, 70, 13, 91, 44, 8, 207, 99, 36, 48, 107, 733, 530, 136, 370, 229, 207, 207, 679, 545, 2029, 1067, 556, 5098, 300, 118, 82, 2231, 66, 518, 994, 287, 531, 792, 1820, 2122, 437, 301, 227, 1099, 2130, 1300, 840, 3822, 822, 679, 402, 3061, 36, 1806, 1711, 343, 347, 26, 106, 269, 312, 210, 393, 289, 745, 1764, 50, 2909, 11991, 1840, 2745, 55, 9182, 13134, 717, 169, 588, 1307, 1528, 1420, 7327, 24751, 12394, 16059, 25745, 16204, 41736, 20348, 5274, 40317, 29104, 54170, 38686 ]
143
4,410
[ 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0 ]
[ 0, 5, 11, 27, 35, 39, 53, 58, 59, 61, 70, 72, 80, 85, 85, 89, 112, 112, 121, 123, 125, 127, 137, 139, 158, 174, 179, 196, 198, 204, 208, 234, 308, 327, 332, 342, 359, 368, 379, 431, 455, 570, 618, 619, 625, 628, 670, 670, 706, 755, 910, 1054, 1068, 1129, 1243, 1349, 1528, 1642, 1693, 1811, 1953, 2049, 2133, 2261, 2315, 2792, 2969, 3058, 3881, 4112, 4148, 4207, 4410, 5167, 5197, 5374, 5394, 5622, 7282, 7698, 10422, 12842, 12937, 14523, 15057, 16590, 17259, 30605, 33033, 38401, 38401, 47655, 47778, 70333, 85017, 101499, 104793, 147280, 149678, 170389, 172084, 173811, 192065, 192986, 198144, 269630, 343646, 343747, 367649, 457002, 458001 ]
3
[ 0, 5, 6, 16, 8, 4, 14, 5, 1, 2, 9, 2, 8, 5, 0, 4, 23, 0, 9, 2, 2, 2, 10, 2, 19, 16, 5, 17, 2, 6, 4, 26, 74, 19, 5, 10, 17, 9, 11, 52, 24, 115, 48, 1, 6, 3, 42, 0, 36, 49, 155, 144, 14, 61, 114, 106, 179, 114, 51, 118, 142, 96, 84, 128, 54, 477, 177, 89, 823, 231, 36, 59, 203, 757, 30, 177, 20, 228, 1660, 416, 2724, 2420, 95, 1586, 534, 1533, 669, 13346, 2428, 5368, 0, 9254, 123, 22555, 14684, 16482, 3294, 42487, 2398, 20711, 1695, 1727, 18254, 921, 5158, 71486, 74016, 101, 23902, 89353, 999 ]
111
4,411
[ 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1 ]
[ 0, 5, 47, 64, 69, 78, 89, 89, 94, 113, 116, 136, 137, 141, 143, 149, 161, 173, 175, 181, 192, 195, 199, 219, 227, 268, 271, 290, 304, 306, 310, 342, 457, 512, 602, 765, 780, 812, 816, 853, 859, 916, 952, 1019, 1045, 1084, 1087, 1131, 1212, 1326, 1362, 1380, 1411, 1560, 1607, 1795, 2223, 2403, 2428, 2654, 3246, 3262, 3284, 3464, 3573, 3860, 3900, 4068, 4885, 4906, 5134, 5661, 5769, 5812, 5842, 5920, 6131, 7187, 7197, 7285, 8388, 8915, 9215, 9634, 9715, 9732, 10337, 10693, 10915, 11995, 12333, 12910, 13038, 13712, 14739, 15633, 17164, 18714, 19127, 27577, 29590, 31121, 33089, 60206, 65078, 72756, 86350, 154196, 189222, 204398, 234224, 247080, 280304, 290657, 347460 ]
3
[ 0, 5, 42, 17, 5, 9, 11, 0, 5, 19, 3, 20, 1, 4, 2, 6, 12, 12, 2, 6, 11, 3, 4, 20, 8, 41, 3, 19, 14, 2, 4, 32, 115, 55, 90, 163, 15, 32, 4, 37, 6, 57, 36, 67, 26, 39, 3, 44, 81, 114, 36, 18, 31, 149, 47, 188, 428, 180, 25, 226, 592, 16, 22, 180, 109, 287, 40, 168, 817, 21, 228, 527, 108, 43, 30, 78, 211, 1056, 10, 88, 1103, 527, 300, 419, 81, 17, 605, 356, 222, 1080, 338, 577, 128, 674, 1027, 894, 1531, 1550, 413, 8450, 2013, 1531, 1968, 27117, 4872, 7678, 13594, 67846, 35026, 15176, 29826, 12856, 33224, 10353, 56803 ]
115
4,412
[ 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0 ]
[ 0, 34, 71, 77, 82, 150, 156, 182, 258, 276, 299, 416, 499, 677, 732, 1002, 1085, 1091, 1095, 1101, 1152, 1157, 1559, 1567, 1614, 2220, 2280, 2329, 2676, 2676, 2712, 2720, 2772, 2794, 2991, 3307, 3341, 3513, 3629, 3738, 3760, 6025, 6132, 6243, 6248, 6656, 12397, 12397, 14563, 14585, 14608, 15875, 16656 ]
3
[ 0, 34, 37, 6, 5, 68, 6, 26, 76, 18, 23, 117, 83, 178, 55, 270, 83, 6, 4, 6, 51, 5, 402, 8, 47, 606, 60, 49, 347, 0, 36, 8, 52, 22, 197, 316, 34, 172, 116, 109, 22, 2265, 107, 111, 5, 408, 5741, 0, 2166, 22, 23, 1267, 781 ]
53
4,413
[ 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0 ]
[ 0, 13, 20, 28, 64, 73, 95, 199, 1250, 3391, 5479, 5509, 5515, 5516, 5528, 5538, 5557, 5561, 5564, 5564, 5570, 5575, 5581, 5603, 5633, 5661, 5716, 5727, 5739, 5742, 5762, 5819, 5821, 5861, 5870, 5896, 5907, 5926, 5933, 6045, 6166, 6225, 6244, 6272, 6333, 6392, 6404, 6550, 6861, 7066, 7165, 7287, 7504, 7546, 7565, 7676, 8985, 9556, 12405, 13412, 18855, 20677, 20828, 21348, 33549, 37011, 71816, 256286, 289225 ]
3
[ 0, 13, 7, 8, 36, 9, 22, 104, 1051, 2141, 2088, 30, 6, 1, 12, 10, 19, 4, 3, 0, 6, 5, 6, 22, 30, 28, 55, 11, 12, 3, 20, 57, 2, 40, 9, 26, 11, 19, 7, 112, 121, 59, 19, 28, 61, 59, 12, 146, 311, 205, 99, 122, 217, 42, 19, 111, 1309, 571, 2849, 1007, 5443, 1822, 151, 520, 12201, 3462, 34805, 184470, 32939 ]
69
4,414
[ 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 6, 9, 10, 13, 22, 22, 24, 32, 38, 60, 66, 68, 70, 71, 77, 84, 94, 96, 101, 176, 199, 216, 219, 230, 266, 391, 404, 479, 485, 505, 507, 513, 533, 538, 544, 547, 549, 576, 640, 702, 872, 1011, 1011, 1017, 1295, 1295, 1380, 2020, 2751, 3036, 3145, 3683, 3771, 4349, 4444, 5174, 5226, 7129, 9850, 9969, 10219, 16170, 17525, 17588, 17765, 18298, 20121, 20588, 20596, 21765, 21882, 22045, 23286, 25007, 26014, 27156, 27571, 27704, 27721, 28725, 30129, 30460, 30710, 32682, 35338, 35457, 35483, 35583, 35596, 35617, 35626, 35703, 35741, 35816, 35847, 35854, 35971, 36152, 36505, 36564, 36579, 36628, 36909, 37225, 37364, 37492, 38259, 40500 ]
3
[ 0, 6, 3, 1, 3, 9, 0, 2, 8, 6, 22, 6, 2, 2, 1, 6, 7, 10, 2, 5, 75, 23, 17, 3, 11, 36, 125, 13, 75, 6, 20, 2, 6, 20, 5, 6, 3, 2, 27, 64, 62, 170, 139, 0, 6, 278, 0, 85, 640, 731, 285, 109, 538, 88, 578, 95, 730, 52, 1903, 2721, 119, 250, 5951, 1355, 63, 177, 533, 1823, 467, 8, 1169, 117, 163, 1241, 1721, 1007, 1142, 415, 133, 17, 1004, 1404, 331, 250, 1972, 2656, 119, 26, 100, 13, 21, 9, 77, 38, 75, 31, 7, 117, 181, 353, 59, 15, 49, 281, 316, 139, 128, 767, 2241 ]
109
4,415
[ 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ]
[ 0, 2, 14, 15, 25, 28, 35, 43, 51, 54, 63, 64, 125, 127, 170, 178, 182, 188, 214, 260, 296, 323, 327, 367, 367, 368, 391, 394, 398, 523, 536, 619, 671, 1025, 1036, 1283, 1283, 1602, 1613, 1704, 1932, 2235, 2316, 5521, 13399, 21295, 21311, 21341, 21346, 21376, 21378, 21385, 21386, 21403, 21419, 21430, 21463, 21474, 21481, 21527, 21537, 21538, 21622, 21826, 21871, 21892, 21957, 22085, 22108, 22113, 22154, 22222, 22234, 22473, 23340, 24110, 24843, 30086, 30195, 93295, 579016 ]
3
[ 0, 2, 12, 1, 10, 3, 7, 8, 8, 3, 9, 1, 61, 2, 43, 8, 4, 6, 26, 46, 36, 27, 4, 40, 0, 1, 23, 3, 4, 125, 13, 83, 52, 354, 11, 247, 0, 319, 11, 91, 228, 303, 81, 3205, 7878, 7896, 16, 30, 5, 30, 2, 7, 1, 17, 16, 11, 33, 11, 7, 46, 10, 1, 84, 204, 45, 21, 65, 128, 23, 5, 41, 68, 12, 239, 867, 770, 733, 5243, 109, 63100, 485721 ]
81
4,416
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0 ]
[ 0, 0, 0, 4, 4, 6, 8, 11, 16, 18, 19, 20, 21, 22, 22, 25, 26, 27, 30, 30, 31, 32, 34, 36, 36, 37, 38, 38, 39, 42, 43, 45, 47, 47, 48, 51, 52, 60, 62, 62, 64, 66, 67, 68, 68, 70, 72, 78, 83, 85, 85, 87, 89, 102, 102, 109, 127, 132, 142, 147, 149, 154, 164, 166, 175, 190, 268, 279, 286, 321, 326, 354, 359, 369, 412, 417, 425, 455, 727, 919, 3212, 3225, 13880, 49144 ]
3
[ 0, 0, 0, 4, 0, 2, 2, 3, 5, 2, 1, 1, 1, 1, 0, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 3, 1, 2, 2, 0, 1, 3, 1, 8, 2, 0, 2, 2, 1, 1, 0, 2, 2, 6, 5, 2, 0, 2, 2, 13, 0, 7, 18, 5, 10, 5, 2, 5, 10, 2, 9, 15, 78, 11, 7, 35, 5, 28, 5, 10, 43, 5, 8, 30, 272, 192, 2293, 13, 10655, 35264 ]
84
4,417
[ 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1 ]
[ 0, 13, 30, 32, 38, 89, 98, 102, 106, 130, 132, 144, 163, 167, 178, 184, 194, 222, 274, 305, 327, 328, 358, 372, 381, 411, 484, 665, 724, 826, 1000, 1269, 1413, 1472, 1606, 2372, 3817, 6344, 24124, 26774, 32290, 34138, 35920, 40651, 42300, 45959, 59180, 73210, 74811, 76279, 76414, 76591, 206684, 227141, 253640, 254278, 466789, 491849 ]
3
[ 0, 13, 17, 2, 6, 51, 9, 4, 4, 24, 2, 12, 19, 4, 11, 6, 10, 28, 52, 31, 22, 1, 30, 14, 9, 30, 73, 181, 59, 102, 174, 269, 144, 59, 134, 766, 1445, 2527, 17780, 2650, 5516, 1848, 1782, 4731, 1649, 3659, 13221, 14030, 1601, 1468, 135, 177, 130093, 20457, 26499, 638, 212511, 25060 ]
58
4,418
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 7, 23, 25, 28, 29, 31, 32, 43, 45, 45, 46, 47, 49, 51, 57, 60, 61, 62, 79, 81, 84, 88, 99, 99, 106, 107, 108, 116, 124, 130, 131, 137, 139, 139, 142, 150, 156, 159, 172, 194, 196, 197, 199, 201, 204, 208, 216, 228, 235, 235, 241, 247, 255, 262, 264, 278, 287, 289, 291, 291, 295, 297, 319, 336, 356, 361, 376, 451, 455, 468, 502, 514, 516, 539, 568, 569, 601, 620, 640, 643, 643, 646, 698, 784, 843, 890, 891, 959, 1007, 1089, 1122, 1219, 1220, 1226, 1400, 1437, 1560, 1590, 2020, 2133, 2222, 2287, 2418, 2983, 3293, 3446, 3511, 4465, 4749, 5074, 5122, 5697, 5769, 6231, 6310, 8352, 9974, 10421, 13124, 13625, 16427, 17851, 23562, 25322, 27458, 32338, 50797, 52497, 54854, 55754, 55785, 65437, 72953, 73458, 74675, 75668, 76566, 79822, 84296, 89272, 90717, 90776, 108249, 109295, 109547, 109627, 117677, 118685, 125389, 147672, 157117, 158652, 158699, 170082, 170529, 195656, 195954, 278864, 279802, 281151, 290003, 291882, 328000, 398600, 402187, 438250, 456975, 533099, 533099, 541064, 544915, 602848 ]
3
[ 0, 7, 16, 2, 3, 1, 2, 1, 11, 2, 0, 1, 1, 2, 2, 6, 3, 1, 1, 17, 2, 3, 4, 11, 0, 7, 1, 1, 8, 8, 6, 1, 6, 2, 0, 3, 8, 6, 3, 13, 22, 2, 1, 2, 2, 3, 4, 8, 12, 7, 0, 6, 6, 8, 7, 2, 14, 9, 2, 2, 0, 4, 2, 22, 17, 20, 5, 15, 75, 4, 13, 34, 12, 2, 23, 29, 1, 32, 19, 20, 3, 0, 3, 52, 86, 59, 47, 1, 68, 48, 82, 33, 97, 1, 6, 174, 37, 123, 30, 430, 113, 89, 65, 131, 565, 310, 153, 65, 954, 284, 325, 48, 575, 72, 462, 79, 2042, 1622, 447, 2703, 501, 2802, 1424, 5711, 1760, 2136, 4880, 18459, 1700, 2357, 900, 31, 9652, 7516, 505, 1217, 993, 898, 3256, 4474, 4976, 1445, 59, 17473, 1046, 252, 80, 8050, 1008, 6704, 22283, 9445, 1535, 47, 11383, 447, 25127, 298, 82910, 938, 1349, 8852, 1879, 36118, 70600, 3587, 36063, 18725, 76124, 0, 7965, 3851, 57933 ]
173
4,419
[ 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0 ]
[ 0, 13, 14, 17, 18, 20, 21, 21, 23, 27, 28, 28, 83, 83, 86, 86, 86, 89, 95, 100, 100, 102, 102, 104, 106, 106, 107, 107, 107, 107, 108, 110, 113, 122, 123, 128, 129, 132, 139, 140, 140, 144, 144, 144, 159, 161, 161, 166, 166, 167, 172, 179, 182, 184, 187, 192, 201, 204, 205, 220, 229, 235, 242, 248, 254, 255, 258, 263, 291, 309, 321, 329, 337, 337, 349, 353, 430, 505, 551, 551, 558, 599, 642, 659, 669, 726, 748, 766, 775, 798, 800, 851, 851, 864, 882, 895, 1005, 1127, 1159, 1208, 1285, 1514, 1538, 1607, 1655, 1700, 1725, 1734, 1853, 1859, 1967, 2217, 2467, 2627, 2652, 2686, 2878, 3009, 3084, 3695, 3815, 4822, 6229, 6977, 7244, 7282, 7311, 8642, 11731, 14246, 14284, 15370, 16150, 16614, 16943, 17444, 17886, 28155, 28472, 44289, 54764, 73097, 75172, 80744, 128157, 365002 ]
3
[ 0, 13, 1, 3, 1, 2, 1, 0, 2, 4, 1, 0, 55, 0, 3, 0, 0, 3, 6, 5, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 3, 9, 1, 5, 1, 3, 7, 1, 0, 4, 0, 0, 15, 2, 0, 5, 0, 1, 5, 7, 3, 2, 3, 5, 9, 3, 1, 15, 9, 6, 7, 6, 6, 1, 3, 5, 28, 18, 12, 8, 8, 0, 12, 4, 77, 75, 46, 0, 7, 41, 43, 17, 10, 57, 22, 18, 9, 23, 2, 51, 0, 13, 18, 13, 110, 122, 32, 49, 77, 229, 24, 69, 48, 45, 25, 9, 119, 6, 108, 250, 250, 160, 25, 34, 192, 131, 75, 611, 120, 1007, 1407, 748, 267, 38, 29, 1331, 3089, 2515, 38, 1086, 780, 464, 329, 501, 442, 10269, 317, 15817, 10475, 18333, 2075, 5572, 47413, 236845 ]
146
4,420
[ 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1 ]
[ 0, 33, 211, 324, 376, 501, 587, 677, 835, 1176, 1293, 1661, 6631, 11524, 11675, 14033, 16806, 17389, 21288, 22110, 24584, 24626, 25078, 25260, 26028, 26071, 26564, 26580, 26707, 26710, 26749, 26916, 27174, 27215, 28094, 28197, 28262, 28278, 28386, 28832, 29608, 29608, 29762, 30107, 30130, 30196, 30277, 30332, 30460, 30638, 30839, 31323, 32900, 33135, 33249, 33429, 33454, 33563, 34195, 34247, 34542, 37934, 37992, 38284, 38471, 38528, 38950, 39240, 40646, 42408, 43795, 44213, 44256, 47236, 47330, 49236, 50158, 50352, 50487, 50581, 51751, 52003, 52235, 54853, 56619, 61525, 65453, 66350, 67980, 68526, 70110, 70263, 74685, 75037, 77061, 77424, 77800, 104995, 107241, 143812 ]
3
[ 0, 33, 178, 113, 52, 125, 86, 90, 158, 341, 117, 368, 4970, 4893, 151, 2358, 2773, 583, 3899, 822, 2474, 42, 452, 182, 768, 43, 493, 16, 127, 3, 39, 167, 258, 41, 879, 103, 65, 16, 108, 446, 776, 0, 154, 345, 23, 66, 81, 55, 128, 178, 201, 484, 1577, 235, 114, 180, 25, 109, 632, 52, 295, 3392, 58, 292, 187, 57, 422, 290, 1406, 1762, 1387, 418, 43, 2980, 94, 1906, 922, 194, 135, 94, 1170, 252, 232, 2618, 1766, 4906, 3928, 897, 1630, 546, 1584, 153, 4422, 352, 2024, 363, 376, 27195, 2246, 36571 ]
100
4,421
[ 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1 ]
[ 0, 16, 39, 81, 108, 110, 138, 144, 157, 182, 203, 216, 230, 232, 242, 242, 243, 270, 289, 315, 351, 391, 401, 408, 453, 536, 544, 586, 593, 621, 639, 729, 813, 896, 1123, 1155, 1306, 1427, 1477, 1658, 2274, 2301, 69828, 80002, 82376, 82385, 82404, 82419, 82419, 82425, 82427, 82453, 82456, 82589, 82800, 82830, 83028, 83290, 83296, 83312, 83315, 83326, 83328, 83344, 83356, 83377, 83380, 83392, 83395, 83402, 83467, 83483, 83499, 83559, 83627, 83651, 83666, 83679, 83994, 84776, 90199, 90490, 90704, 90958, 91342, 118039, 167689, 167717, 167730, 167742, 167747, 167750, 167761, 167763, 167772, 167781, 167904, 168012, 168019, 168060, 168072, 168133, 267670, 423393, 423409, 423481, 423521, 423545, 423560, 423680, 423728, 427617, 519623, 521746 ]
3
[ 0, 16, 23, 42, 27, 2, 28, 6, 13, 25, 21, 13, 14, 2, 10, 0, 1, 27, 19, 26, 36, 40, 10, 7, 45, 83, 8, 42, 7, 28, 18, 90, 84, 83, 227, 32, 151, 121, 50, 181, 616, 27, 67527, 10174, 2374, 9, 19, 15, 0, 6, 2, 26, 3, 133, 211, 30, 198, 262, 6, 16, 3, 11, 2, 16, 12, 21, 3, 12, 3, 7, 65, 16, 16, 60, 68, 24, 15, 13, 315, 782, 5423, 291, 214, 254, 384, 26697, 49650, 28, 13, 12, 5, 3, 11, 2, 9, 9, 123, 108, 7, 41, 12, 61, 99537, 155723, 16, 72, 40, 24, 15, 120, 48, 3889, 92006, 2123 ]
114
4,422
[ 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1 ]
[ 0, 30, 31, 36, 49, 49, 61, 69, 76, 78, 82, 86, 101, 103, 112, 114, 149, 160, 196, 237, 258, 262, 284, 303, 322, 363, 371, 387, 426, 436, 466, 536, 555, 587, 636, 689, 747, 753, 767, 1274, 1302, 1454, 1474, 1518, 1734, 2087, 2351, 2546, 6790, 7808, 8197, 13446, 19289, 31947, 72511, 140625, 177281 ]
3
[ 0, 30, 1, 5, 13, 0, 12, 8, 7, 2, 4, 4, 15, 2, 9, 2, 35, 11, 36, 41, 21, 4, 22, 19, 19, 41, 8, 16, 39, 10, 30, 70, 19, 32, 49, 53, 58, 6, 14, 507, 28, 152, 20, 44, 216, 353, 264, 195, 4244, 1018, 389, 5249, 5843, 12658, 40564, 68114, 36656 ]
57
4,423
[ 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 20, 22, 26, 26, 31, 33, 49, 59, 62, 62, 65, 69, 76, 89, 94, 100, 100, 102, 106, 124, 129, 131, 132, 146, 153, 162, 165, 167, 186, 192, 200, 202, 204, 212, 213, 214, 215, 217, 220, 225, 240, 246, 252, 263, 266, 274, 276, 307, 346, 350, 396, 413, 433, 458, 507, 511, 621, 673, 874, 906, 918, 1037, 1096, 1331, 3414, 3678, 4153, 70650, 71989, 72005, 72054, 72060, 72076, 72078, 72082, 72927, 159801, 159938, 160183, 173065 ]
3
[ 0, 20, 2, 4, 0, 5, 2, 16, 10, 3, 0, 3, 4, 7, 13, 5, 6, 0, 2, 4, 18, 5, 2, 1, 14, 7, 9, 3, 2, 19, 6, 8, 2, 2, 8, 1, 1, 1, 2, 3, 5, 15, 6, 6, 11, 3, 8, 2, 31, 39, 4, 46, 17, 20, 25, 49, 4, 110, 52, 201, 32, 12, 119, 59, 235, 2083, 264, 475, 66497, 1339, 16, 49, 6, 16, 2, 4, 845, 86874, 137, 245, 12882 ]
81
4,424
[ 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 0, 9, 11, 16, 17, 21, 23, 24, 26, 29, 30, 34, 48, 48, 50, 53, 59, 60, 88, 95, 97, 97, 99, 105, 106, 107, 109, 111, 116, 125, 128, 129, 129, 130, 135, 139, 141, 143, 151, 152, 158, 160, 178, 181, 185, 192, 208, 212, 218, 222, 226, 227, 231, 238, 242, 245, 250, 251, 251, 264, 266, 286, 290, 314, 330, 332, 336, 338, 348, 349, 353, 383, 388, 389, 404, 410, 412, 414, 420, 440, 446, 451, 460, 461, 474, 483, 487, 495, 524, 550, 569, 586, 601, 614, 626, 628, 643, 676, 712, 723, 761, 806, 818, 841, 852, 864, 879, 911, 924, 1008, 1020, 1042, 1058, 1069, 1081, 1133, 1145, 1171, 1173, 1174, 1197, 1271, 1275, 1388, 1399, 1523, 1526, 1572, 1578, 1640, 1768, 2015, 2018, 2026, 2089, 2225, 2233, 2245, 2289, 2300, 2368, 2456, 2540, 2588, 2613, 2624, 2795, 2975, 3076, 3126, 3177, 3317, 3332, 3402, 3432, 3448, 3505, 3549, 3626, 3644, 3692, 3706, 4004, 4008, 4087, 4481, 4666, 4990, 5072, 5106, 5294, 5311, 5356, 5425, 5687, 5705, 5854, 6129, 6226, 6567, 6654, 6817, 7182, 7594, 7650, 7922, 7947, 8250, 8388, 8524, 8847, 9176, 9199, 9254, 9278, 9342, 9641, 10370, 10371, 11415, 11675, 11878, 11947, 12404, 13247, 13853, 15093, 15217, 15569, 16220, 16551, 18364, 18459, 18917, 20121, 20964, 21153, 26677, 28328, 29079, 30074, 31101, 32758, 33550, 35056, 37568, 42125, 42422, 43482, 50751, 52057, 52328, 58109, 60088, 65245, 65415, 65439, 74143, 92172, 99515, 110433, 110894, 113688, 115047, 170878, 173731, 177410, 266825, 442208 ]
3
[ 0, 9, 2, 5, 1, 4, 2, 1, 2, 3, 1, 4, 14, 0, 2, 3, 6, 1, 28, 7, 2, 0, 2, 6, 1, 1, 2, 2, 5, 9, 3, 1, 0, 1, 5, 4, 2, 2, 8, 1, 6, 2, 18, 3, 4, 7, 16, 4, 6, 4, 4, 1, 4, 7, 4, 3, 5, 1, 0, 13, 2, 20, 4, 24, 16, 2, 4, 2, 10, 1, 4, 30, 5, 1, 15, 6, 2, 2, 6, 20, 6, 5, 9, 1, 13, 9, 4, 8, 29, 26, 19, 17, 15, 13, 12, 2, 15, 33, 36, 11, 38, 45, 12, 23, 11, 12, 15, 32, 13, 84, 12, 22, 16, 11, 12, 52, 12, 26, 2, 1, 23, 74, 4, 113, 11, 124, 3, 46, 6, 62, 128, 247, 3, 8, 63, 136, 8, 12, 44, 11, 68, 88, 84, 48, 25, 11, 171, 180, 101, 50, 51, 140, 15, 70, 30, 16, 57, 44, 77, 18, 48, 14, 298, 4, 79, 394, 185, 324, 82, 34, 188, 17, 45, 69, 262, 18, 149, 275, 97, 341, 87, 163, 365, 412, 56, 272, 25, 303, 138, 136, 323, 329, 23, 55, 24, 64, 299, 729, 1, 1044, 260, 203, 69, 457, 843, 606, 1240, 124, 352, 651, 331, 1813, 95, 458, 1204, 843, 189, 5524, 1651, 751, 995, 1027, 1657, 792, 1506, 2512, 4557, 297, 1060, 7269, 1306, 271, 5781, 1979, 5157, 170, 24, 8704, 18029, 7343, 10918, 461, 2794, 1359, 55831, 2853, 3679, 89415, 175383 ]
249
4,425
[ 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0 ]
[ 0, 4, 8, 11, 13, 14, 15, 20, 20, 20, 25, 26, 30, 30, 32, 32, 33, 34, 34, 38, 46, 47, 49, 52, 55, 56, 58, 58, 61, 63, 64, 64, 65, 70, 71, 72, 77, 77, 78, 83, 84, 147, 149, 153, 156, 157, 176, 180, 183, 186, 188, 191, 208, 210, 221, 228, 234, 245, 251, 258, 259, 262, 268, 269, 309, 352, 368, 374, 403, 410, 411, 414, 430, 434, 456, 464, 476, 559, 564, 568, 576, 579, 645, 656, 659, 706, 913, 914, 933, 1055, 1263, 1566, 2455, 2601, 2914, 3176, 3342, 4240, 6743, 6905, 7403, 8120, 10304, 10351, 10373, 10390, 10934, 12070, 12297, 13583, 16448, 18101, 18728, 19514, 19640, 20928, 25549, 26850, 26954, 27968, 28719, 29992, 32092, 34860, 34931, 35810, 38158, 38213, 39759, 39868, 41110, 43187, 43913, 44159, 46027, 46879, 46898, 47562, 51082, 53279, 55200, 55890, 55914, 56454, 56471, 56873, 57407, 57423, 58951, 59589, 59603, 60304, 61600, 61909, 63409, 65304, 66723, 69789, 72564, 73046, 77513, 77859, 78373, 78391, 78421, 78548, 81598, 82412, 86605, 95080, 96570, 125142, 126902, 143253, 150492, 162615, 189804, 196590, 342424, 399378 ]
3
[ 0, 4, 4, 3, 2, 1, 1, 5, 0, 0, 5, 1, 4, 0, 2, 0, 1, 1, 0, 4, 8, 1, 2, 3, 3, 1, 2, 0, 3, 2, 1, 0, 1, 5, 1, 1, 5, 0, 1, 5, 1, 63, 2, 4, 3, 1, 19, 4, 3, 3, 2, 3, 17, 2, 11, 7, 6, 11, 6, 7, 1, 3, 6, 1, 40, 43, 16, 6, 29, 7, 1, 3, 16, 4, 22, 8, 12, 83, 5, 4, 8, 3, 66, 11, 3, 47, 207, 1, 19, 122, 208, 303, 889, 146, 313, 262, 166, 898, 2503, 162, 498, 717, 2184, 47, 22, 17, 544, 1136, 227, 1286, 2865, 1653, 627, 786, 126, 1288, 4621, 1301, 104, 1014, 751, 1273, 2100, 2768, 71, 879, 2348, 55, 1546, 109, 1242, 2077, 726, 246, 1868, 852, 19, 664, 3520, 2197, 1921, 690, 24, 540, 17, 402, 534, 16, 1528, 638, 14, 701, 1296, 309, 1500, 1895, 1419, 3066, 2775, 482, 4467, 346, 514, 18, 30, 127, 3050, 814, 4193, 8475, 1490, 28572, 1760, 16351, 7239, 12123, 27189, 6786, 145834, 56954 ]
180
4,426
[ 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 4, 5, 8, 12, 15, 16, 16, 17, 24, 24, 24, 25, 27, 27, 28, 29, 30, 34, 36, 37, 44, 46, 46, 47, 56, 57, 57, 60, 61, 64, 65, 66, 69, 70, 74, 76, 77, 79, 80, 80, 81, 89, 102, 104, 119, 138, 146, 165, 174, 175, 183, 188, 189, 203, 342, 359, 370, 378, 472, 512, 594, 683, 705, 745, 944, 970, 1123, 1574, 61854, 62497, 63209, 63583, 65128, 66420, 66633, 66998, 69564, 69937, 70080, 70487, 71143, 71373, 74856, 76337, 77674, 78635, 78866, 83927, 87268, 92315, 147347, 158116, 160112, 172432, 174656, 227509, 228999, 244168, 390809 ]
3
[ 0, 1, 3, 1, 3, 4, 3, 1, 0, 1, 7, 0, 0, 1, 2, 0, 1, 1, 1, 4, 2, 1, 7, 2, 0, 1, 9, 1, 0, 3, 1, 3, 1, 1, 3, 1, 4, 2, 1, 2, 1, 0, 1, 8, 13, 2, 15, 19, 8, 19, 9, 1, 8, 5, 1, 14, 139, 17, 11, 8, 94, 40, 82, 89, 22, 40, 199, 26, 153, 451, 60280, 643, 712, 374, 1545, 1292, 213, 365, 2566, 373, 143, 407, 656, 230, 3483, 1481, 1337, 961, 231, 5061, 3341, 5047, 55032, 10769, 1996, 12320, 2224, 52853, 1490, 15169, 146641 ]
101
4,427
[ 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1 ]
[ 0, 6, 17, 18, 21, 24, 24, 33, 33, 35, 37, 37, 51, 51, 55, 57, 58, 58, 66, 67, 83, 85, 88, 89, 93, 99, 99, 105, 107, 110, 114, 118, 119, 123, 134, 138, 147, 152, 168, 191, 206, 234, 236, 236, 251, 261, 267, 273, 282, 290, 299, 322, 363, 372, 473, 507, 556, 644, 683, 724, 733, 762, 845, 847, 884, 888, 903, 914, 954, 960, 969, 1058, 1091, 1096, 1189, 1518, 1713, 1798, 2157, 2178, 2392, 2396, 2494, 2524, 2777, 3059, 4820, 5172, 6836, 6975, 8518, 8597, 10234, 10454, 11622, 12085, 12123, 12318, 14783, 15715, 20187, 25335, 26721, 33081, 33942, 34728, 40500, 43158, 45064, 56112, 88387, 125869, 287005, 322947, 478154 ]
3
[ 0, 6, 11, 1, 3, 3, 0, 9, 0, 2, 2, 0, 14, 0, 4, 2, 1, 0, 8, 1, 16, 2, 3, 1, 4, 6, 0, 6, 2, 3, 4, 4, 1, 4, 11, 4, 9, 5, 16, 23, 15, 28, 2, 0, 15, 10, 6, 6, 9, 8, 9, 23, 41, 9, 101, 34, 49, 88, 39, 41, 9, 29, 83, 2, 37, 4, 15, 11, 40, 6, 9, 89, 33, 5, 93, 329, 195, 85, 359, 21, 214, 4, 98, 30, 253, 282, 1761, 352, 1664, 139, 1543, 79, 1637, 220, 1168, 463, 38, 195, 2465, 932, 4472, 5148, 1386, 6360, 861, 786, 5772, 2658, 1906, 11048, 32275, 37482, 161136, 35942, 155207 ]
115
4,428
[ 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1 ]
[ 0, 1, 4, 10, 12, 13, 13, 14, 15, 15, 16, 17, 19, 20, 22, 23, 24, 24, 28, 28, 29, 29, 31, 31, 32, 33, 33, 34, 34, 34, 38, 38, 39, 39, 40, 41, 43, 43, 44, 45, 46, 48, 49, 50, 52, 52, 56, 60, 61, 61, 62, 64, 68, 70, 75, 75, 80, 81, 84, 86, 87, 88, 90, 95, 100, 100, 102, 105, 106, 106, 107, 108, 115, 117, 117, 118, 125, 128, 131, 136, 153, 154, 154, 157, 163, 168, 173, 177, 180, 182, 190, 191, 192, 201, 204, 213, 225, 230, 247, 248, 269, 270, 282, 299, 310, 324, 335, 341, 342, 371, 387, 405, 408, 410, 421, 428, 438, 448, 457, 462, 465, 622, 623, 630, 730, 742, 783, 828, 845, 907, 921, 981, 999, 1015, 1021, 1067, 1068, 1163, 1263, 1323, 1397, 1502, 1526, 1579, 1604, 1692, 1900, 1925, 1982, 1985, 2134, 2506, 2682, 2689, 2712, 2983, 3225, 3281, 3406, 3687, 3744, 4003, 4085, 4350, 5121, 5682, 5746, 8272, 11872, 12707, 12855, 13651, 46962, 69612, 73573, 77310, 169514, 448582 ]
3
[ 0, 1, 3, 6, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 4, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 4, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 4, 4, 1, 0, 1, 2, 4, 2, 5, 0, 5, 1, 3, 2, 1, 1, 2, 5, 5, 0, 2, 3, 1, 0, 1, 1, 7, 2, 0, 1, 7, 3, 3, 5, 17, 1, 0, 3, 6, 5, 5, 4, 3, 2, 8, 1, 1, 9, 3, 9, 12, 5, 17, 1, 21, 1, 12, 17, 11, 14, 11, 6, 1, 29, 16, 18, 3, 2, 11, 7, 10, 10, 9, 5, 3, 157, 1, 7, 100, 12, 41, 45, 17, 62, 14, 60, 18, 16, 6, 46, 1, 95, 100, 60, 74, 105, 24, 53, 25, 88, 208, 25, 57, 3, 149, 372, 176, 7, 23, 271, 242, 56, 125, 281, 57, 259, 82, 265, 771, 561, 64, 2526, 3600, 835, 148, 796, 33311, 22650, 3961, 3737, 92204, 279068 ]
178
4,429
[ 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1 ]
[ 0, 8, 10, 12, 20, 21, 23, 25, 25, 28, 29, 32, 36, 37, 37, 39, 45, 45, 46, 48, 49, 50, 52, 52, 53, 59, 67, 67, 69, 69, 70, 74, 74, 77, 78, 80, 80, 81, 83, 84, 84, 140, 143, 145, 145, 148, 150, 151, 154, 155, 159, 159, 168, 168, 169, 169, 178, 183, 187, 190, 193, 200, 202, 206, 237, 249, 253, 260, 281, 284, 308, 318, 327, 350, 360, 365, 378, 382, 383, 391, 403, 435, 443, 448, 461, 462, 474, 558, 597, 601, 611, 618, 629, 641, 654, 670, 684, 695, 770, 804, 849, 958, 967, 1000, 1005, 1030, 1092, 1104, 1188, 1207, 1238, 1311, 1340, 1401, 1477, 1550, 1639, 1667, 2075, 2225, 2295, 2304, 2531, 2619, 2722, 2737, 2957, 2963, 3038, 3348, 3662, 3895, 4244, 4987, 5218, 5360, 5816, 6817, 6885, 6970, 7782, 8590, 12321, 12471, 15551, 18795, 19389, 34065, 40799, 41121, 43990, 51945, 54332, 78528, 84777, 85880 ]
3
[ 0, 8, 2, 2, 8, 1, 2, 2, 0, 3, 1, 3, 4, 1, 0, 2, 6, 0, 1, 2, 1, 1, 2, 0, 1, 6, 8, 0, 2, 0, 1, 4, 0, 3, 1, 2, 0, 1, 2, 1, 0, 56, 3, 2, 0, 3, 2, 1, 3, 1, 4, 0, 9, 0, 1, 0, 9, 5, 4, 3, 3, 7, 2, 4, 31, 12, 4, 7, 21, 3, 24, 10, 9, 23, 10, 5, 13, 4, 1, 8, 12, 32, 8, 5, 13, 1, 12, 84, 39, 4, 10, 7, 11, 12, 13, 16, 14, 11, 75, 34, 45, 109, 9, 33, 5, 25, 62, 12, 84, 19, 31, 73, 29, 61, 76, 73, 89, 28, 408, 150, 70, 9, 227, 88, 103, 15, 220, 6, 75, 310, 314, 233, 349, 743, 231, 142, 456, 1001, 68, 85, 812, 808, 3731, 150, 3080, 3244, 594, 14676, 6734, 322, 2869, 7955, 2387, 24196, 6249, 1103 ]
156
4,430
[ 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ 0, 8, 19, 23, 23, 35, 40, 49, 69, 77, 82, 93, 101, 103, 113, 115, 118, 118, 119, 129, 145, 287, 329, 461, 464, 572, 579, 587, 595, 618, 672, 807, 822, 852, 986, 1041, 1043, 1085, 1205, 1225, 1244, 1936, 1948, 1998, 2084, 2345, 2639, 2696, 2776, 2967, 2984, 3808, 3864, 4352, 4379, 4660, 4855, 7218, 7411, 8064, 9517, 11522, 14571, 14592, 14828, 23224, 27198, 33496, 72137, 77867, 78643, 81744, 187189, 360878, 521715 ]
3
[ 0, 8, 11, 4, 0, 12, 5, 9, 20, 8, 5, 11, 8, 2, 10, 2, 3, 0, 1, 10, 16, 142, 42, 132, 3, 108, 7, 8, 8, 23, 54, 135, 15, 30, 134, 55, 2, 42, 120, 20, 19, 692, 12, 50, 86, 261, 294, 57, 80, 191, 17, 824, 56, 488, 27, 281, 195, 2363, 193, 653, 1453, 2005, 3049, 21, 236, 8396, 3974, 6298, 38641, 5730, 776, 3101, 105445, 173689, 160837 ]
75
4,431
[ 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1 ]
[ 0, 15, 21, 32, 37, 66, 85, 97, 121, 126, 129, 153, 187, 189, 193, 209, 242, 247, 267, 267, 299, 306, 320, 326, 349, 370, 404, 407, 451, 454, 504, 561, 574, 717, 753, 990, 1222, 1374, 1509, 1625, 2274, 2854, 4018, 5546, 5909, 6938, 12189, 12383, 12385, 12609, 13028, 13073, 19845, 89797, 101686 ]
3
[ 0, 15, 6, 11, 5, 29, 19, 12, 24, 5, 3, 24, 34, 2, 4, 16, 33, 5, 20, 0, 32, 7, 14, 6, 23, 21, 34, 3, 44, 3, 50, 57, 13, 143, 36, 237, 232, 152, 135, 116, 649, 580, 1164, 1528, 363, 1029, 5251, 194, 2, 224, 419, 45, 6772, 69952, 11889 ]
55
4,432
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0 ]
[ 0, 11, 15, 18, 30, 58, 78, 90, 98, 120, 121, 124, 131, 206, 216, 222, 227, 229, 232, 253, 273, 284, 301, 302, 311, 397, 398, 453, 486, 489, 507, 528, 534, 551, 592, 596, 627, 637, 758, 759, 959, 1207, 1243, 1284, 1420, 1618, 1822, 1839, 1964, 1975, 2226, 2500, 2612, 4332, 4461, 4954, 9436, 98774, 137972, 154043, 417657 ]
3
[ 0, 11, 4, 3, 12, 28, 20, 12, 8, 22, 1, 3, 7, 75, 10, 6, 5, 2, 3, 21, 20, 11, 17, 1, 9, 86, 1, 55, 33, 3, 18, 21, 6, 17, 41, 4, 31, 10, 121, 1, 200, 248, 36, 41, 136, 198, 204, 17, 125, 11, 251, 274, 112, 1720, 129, 493, 4482, 89338, 39198, 16071, 263614 ]
61
4,433
[ 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 17, 19, 19, 23, 24, 28, 31, 33, 35, 37, 40, 43, 44, 54, 68, 71, 78, 78, 80, 81, 84, 84, 85, 107, 109, 111, 119, 119, 121, 132, 134, 143, 157, 181, 189, 193, 194, 203, 212, 225, 230, 235, 243, 246, 253, 260, 277, 281, 290, 352, 352, 401, 411, 417, 677, 772, 820, 835, 889, 892, 999, 1160, 1199, 1219, 1378, 1702, 2157, 2443, 3223, 3747, 5793, 7329, 8750, 9882, 11187, 12811, 39004, 68645, 90808, 92609 ]
3
[ 0, 17, 2, 0, 4, 1, 4, 3, 2, 2, 2, 3, 3, 1, 10, 14, 3, 7, 0, 2, 1, 3, 0, 1, 22, 2, 2, 8, 0, 2, 11, 2, 9, 14, 24, 8, 4, 1, 9, 9, 13, 5, 5, 8, 3, 7, 7, 17, 4, 9, 62, 0, 49, 10, 6, 260, 95, 48, 15, 54, 3, 107, 161, 39, 20, 159, 324, 455, 286, 780, 524, 2046, 1536, 1421, 1132, 1305, 1624, 26193, 29641, 22163, 1801 ]
81
4,434
[ 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1 ]
[ 0, 46, 193, 223, 426, 491, 553, 1005, 1711, 2331, 2346, 2348, 2358, 2370, 2373, 2375, 2383, 2385, 2408, 2414, 2415, 2457, 2481, 2496, 2512, 2535, 2579, 2647, 2692, 2825, 2880, 3252, 4456, 4551, 4757, 4857, 5272, 5791, 5819, 5820, 5843, 5874, 5876, 5904, 5961, 6031, 6051, 6103, 6125, 6225, 6226, 6556, 8233, 8371, 11617, 21703, 24592, 26605, 41961, 186601, 251628 ]
3
[ 0, 46, 147, 30, 203, 65, 62, 452, 706, 620, 15, 2, 10, 12, 3, 2, 8, 2, 23, 6, 1, 42, 24, 15, 16, 23, 44, 68, 45, 133, 55, 372, 1204, 95, 206, 100, 415, 519, 28, 1, 23, 31, 2, 28, 57, 70, 20, 52, 22, 100, 1, 330, 1677, 138, 3246, 10086, 2889, 2013, 15356, 144640, 65027 ]
61
4,435
[ 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1 ]
[ 0, 8, 11, 15, 80, 82, 88, 91, 96, 98, 100, 122, 126, 149, 150, 151, 153, 171, 175, 216, 227, 248, 295, 311, 329, 336, 338, 596, 652, 655, 881, 933, 1039, 1165, 1230, 1298, 1779, 1797, 2076, 2267, 2655, 2918, 3834, 4172, 6101, 7375, 8100, 12154, 32532, 36034, 119609, 194538 ]
3
[ 0, 8, 3, 4, 65, 2, 6, 3, 5, 2, 2, 22, 4, 23, 1, 1, 2, 18, 4, 41, 11, 21, 47, 16, 18, 7, 2, 258, 56, 3, 226, 52, 106, 126, 65, 68, 481, 18, 279, 191, 388, 263, 916, 338, 1929, 1274, 725, 4054, 20378, 3502, 83575, 74929 ]
52
4,436
[ 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ]
[ 0, 20, 33, 265, 404, 441, 842, 958, 1321, 1534, 1632, 1998, 2035, 2118, 2144, 2642, 3131, 4501, 4541, 4718, 5495, 6774, 41958, 41992, 42013, 42752, 42771, 42788, 42849, 42976, 42981, 43761, 43901, 44012, 44302, 44321, 44350, 44361, 44365, 44432, 44501, 45140, 46858, 60045, 60075, 60076, 60122, 60503, 61439, 61462, 61542, 71028, 71062, 71064, 71066, 71115, 71115, 71150, 71152, 71179, 71209, 71220, 71222, 71300, 71307, 71312, 71592, 71795, 72818, 73131, 73133, 73294, 73372, 73422, 74122, 74140, 74229, 74347, 78391, 79014, 79245, 79274, 79907, 79980, 79990, 82589, 83273, 83906, 88912, 89169, 91305, 91327, 91359, 91425, 91439, 91443, 91497, 91520, 91539, 91590, 91652, 91662, 91868, 92382, 92421, 93703, 93758, 93760, 93771, 94283, 96812, 123841, 131628, 131641, 131661, 131683, 131711, 132245, 141267, 141883, 143435, 144138, 144178, 144223, 144425, 144434, 144512, 144539, 144776, 144849, 144930, 145653, 146957, 147004, 147185, 148169, 148170, 148178, 148187, 148205, 148232, 148236, 148294, 148635, 328530 ]
3
[ 0, 20, 13, 232, 139, 37, 401, 116, 363, 213, 98, 366, 37, 83, 26, 498, 489, 1370, 40, 177, 777, 1279, 35184, 34, 21, 739, 19, 17, 61, 127, 5, 780, 140, 111, 290, 19, 29, 11, 4, 67, 69, 639, 1718, 13187, 30, 1, 46, 381, 936, 23, 80, 9486, 34, 2, 2, 49, 0, 35, 2, 27, 30, 11, 2, 78, 7, 5, 280, 203, 1023, 313, 2, 161, 78, 50, 700, 18, 89, 118, 4044, 623, 231, 29, 633, 73, 10, 2599, 684, 633, 5006, 257, 2136, 22, 32, 66, 14, 4, 54, 23, 19, 51, 62, 10, 206, 514, 39, 1282, 55, 2, 11, 512, 2529, 27029, 7787, 13, 20, 22, 28, 534, 9022, 616, 1552, 703, 40, 45, 202, 9, 78, 27, 237, 73, 81, 723, 1304, 47, 181, 984, 1, 8, 9, 18, 27, 4, 58, 341, 179895 ]
145
4,437
[ 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1 ]
[ 0, 13, 38, 41, 47, 48, 53, 54, 62, 71, 78, 80, 87, 91, 101, 104, 111, 115, 137, 138, 142, 148, 158, 170, 191, 195, 215, 252, 281, 303, 335, 342, 400, 598, 665, 679, 694, 729, 760, 815, 824, 848, 850, 910, 984, 992, 1102, 1236, 1263, 1295, 1403, 1439, 1447, 1527, 1680, 2061, 2332, 2424, 2428, 2438, 2536, 2697, 2823, 2926, 3058, 3220, 3309, 3328, 3766, 4034, 4211, 4341, 4511, 4655, 4663, 4701, 4747, 4886, 5051, 5075, 5248, 5355, 5580, 5699, 6494, 6531, 6870, 6939, 7345, 7573, 7917, 8805, 9867, 10325, 11959, 12525, 16110, 17195, 19134, 19239, 21108, 24023, 24985, 31135, 32832, 35699, 36468, 36973, 42669, 74048, 83754, 127568, 172017, 172196, 254202, 256801 ]
3
[ 0, 13, 25, 3, 6, 1, 5, 1, 8, 9, 7, 2, 7, 4, 10, 3, 7, 4, 22, 1, 4, 6, 10, 12, 21, 4, 20, 37, 29, 22, 32, 7, 58, 198, 67, 14, 15, 35, 31, 55, 9, 24, 2, 60, 74, 8, 110, 134, 27, 32, 108, 36, 8, 80, 153, 381, 271, 92, 4, 10, 98, 161, 126, 103, 132, 162, 89, 19, 438, 268, 177, 130, 170, 144, 8, 38, 46, 139, 165, 24, 173, 107, 225, 119, 795, 37, 339, 69, 406, 228, 344, 888, 1062, 458, 1634, 566, 3585, 1085, 1939, 105, 1869, 2915, 962, 6150, 1697, 2867, 769, 505, 5696, 31379, 9706, 43814, 44449, 179, 82006, 2599 ]
116
4,438
[ 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 8, 22, 23, 46, 48, 53, 54, 56, 58, 73, 78, 84, 88, 89, 92, 93, 100, 101, 118, 121, 130, 135, 136, 141, 153, 161, 213, 217, 232, 234, 250, 288, 316, 326, 332, 353, 452, 456, 542, 593, 811, 812, 872, 875, 895, 920, 948, 966, 1041, 1155 ]
3
[ 0, 8, 14, 1, 23, 2, 5, 1, 2, 2, 15, 5, 6, 4, 1, 3, 1, 7, 1, 17, 3, 9, 5, 1, 5, 12, 8, 52, 4, 15, 2, 16, 38, 28, 10, 6, 21, 99, 4, 86, 51, 218, 1, 60, 3, 20, 25, 28, 18, 75, 114 ]
51
4,439
[ 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0 ]
[ 0, 0, 13, 51, 60, 66, 69, 74, 85, 91, 120, 131, 236, 402, 448, 456, 476, 541, 545, 809, 907, 987, 1001, 1012, 1033, 1054, 1275, 1277, 2310, 2359, 2398, 2490, 2564, 2604, 3088, 3536, 3816, 3980, 3991, 4020, 4020, 4042, 4042, 4062, 4705, 4721, 5013, 5191, 5550, 5864, 5947, 6318, 7537, 8220, 8606, 9009, 10381, 10998, 16482, 37177, 47515, 51493, 86139, 92594, 106401, 136058, 219620, 292190 ]
3
[ 0, 0, 13, 38, 9, 6, 3, 5, 11, 6, 29, 11, 105, 166, 46, 8, 20, 65, 4, 264, 98, 80, 14, 11, 21, 21, 221, 2, 1033, 49, 39, 92, 74, 40, 484, 448, 280, 164, 11, 29, 0, 22, 0, 20, 643, 16, 292, 178, 359, 314, 83, 371, 1219, 683, 386, 403, 1372, 617, 5484, 20695, 10338, 3978, 34646, 6455, 13807, 29657, 83562, 72570 ]
68
4,440
[ 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2 ]
[ 0, 56, 96, 123, 186, 186, 190, 213, 237, 284, 295, 318, 345, 413, 474, 494, 526, 527, 543, 612, 680, 744, 797, 1033, 1184, 1334, 1555, 1653, 1772, 1845, 1920, 2299, 2456, 2490, 2503, 2518, 2709, 2822, 2915, 2976, 3336, 3628, 3707, 3793, 4509, 4829, 5166, 5470, 8840, 9525, 11588, 14626, 14773, 43265, 100347 ]
3
[ 0, 56, 40, 27, 63, 0, 4, 23, 24, 47, 11, 23, 27, 68, 61, 20, 32, 1, 16, 69, 68, 64, 53, 236, 151, 150, 221, 98, 119, 73, 75, 379, 157, 34, 13, 15, 191, 113, 93, 61, 360, 292, 79, 86, 716, 320, 337, 304, 3370, 685, 2063, 3038, 147, 28492, 57082 ]
55
4,441
[ 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 9, 9, 10, 14, 15, 16, 20, 24, 27, 28, 31, 31, 33, 38, 104, 104, 105, 109, 116, 116, 122, 124, 128, 129, 130, 140, 141, 152, 153, 160, 160, 168, 168, 170, 183, 185, 192, 206, 211, 211, 213, 214, 220, 224, 224, 226, 233, 233, 233, 257, 260, 269, 271, 281, 283, 294, 299, 302, 366, 369, 390, 391, 401, 401, 405, 412, 413, 424, 458, 470, 486, 506, 508, 537, 542, 559, 568, 585, 591, 688, 693, 709, 745, 869, 907, 926, 958, 983, 1008, 1086, 1089, 1122, 1154, 1167, 1230, 1303, 1354, 1424, 1431, 1573, 1573, 1676, 1690, 1717, 1734, 2193, 2234, 2261, 2353, 2364, 2378, 2662, 2849, 3101, 3282, 3303, 3460, 3866, 3986, 4006, 4062, 4155, 4618, 4909, 4942, 4984, 5006, 5066, 5140, 5515, 5652, 6293, 6433, 6890, 7180, 7302, 7647, 7780, 8179, 8561, 8751, 9010, 9774, 10405, 10748, 11148, 11835, 12174, 12371, 15361, 15568, 16106, 16217, 16715, 18331, 18912, 20476, 21066, 21876, 22255, 22772, 23612, 23641, 25166, 25216, 25829, 26008, 26338, 28179, 30922, 32326, 33853, 36742, 40669, 44693, 48954, 49747, 52709, 60758, 70221, 70261, 77365, 89847, 93204, 116073, 117960, 138805, 161616, 162545, 162743, 168706, 258439 ]
3
[ 0, 9, 0, 1, 4, 1, 1, 4, 4, 3, 1, 3, 0, 2, 5, 66, 0, 1, 4, 7, 0, 6, 2, 4, 1, 1, 10, 1, 11, 1, 7, 0, 8, 0, 2, 13, 2, 7, 14, 5, 0, 2, 1, 6, 4, 0, 2, 7, 0, 0, 24, 3, 9, 2, 10, 2, 11, 5, 3, 64, 3, 21, 1, 10, 0, 4, 7, 1, 11, 34, 12, 16, 20, 2, 29, 5, 17, 9, 17, 6, 97, 5, 16, 36, 124, 38, 19, 32, 25, 25, 78, 3, 33, 32, 13, 63, 73, 51, 70, 7, 142, 0, 103, 14, 27, 17, 459, 41, 27, 92, 11, 14, 284, 187, 252, 181, 21, 157, 406, 120, 20, 56, 93, 463, 291, 33, 42, 22, 60, 74, 375, 137, 641, 140, 457, 290, 122, 345, 133, 399, 382, 190, 259, 764, 631, 343, 400, 687, 339, 197, 2990, 207, 538, 111, 498, 1616, 581, 1564, 590, 810, 379, 517, 840, 29, 1525, 50, 613, 179, 330, 1841, 2743, 1404, 1527, 2889, 3927, 4024, 4261, 793, 2962, 8049, 9463, 40, 7104, 12482, 3357, 22869, 1887, 20845, 22811, 929, 198, 5963, 89733 ]
193
4,442
[ 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1 ]
[ 0, 4, 42, 49, 88, 92, 105, 106, 107, 120, 182, 205, 213, 222, 223, 226, 232, 316, 330, 347, 432, 457, 502, 549, 591, 639, 717, 805, 818, 874, 901, 907, 920, 972, 1049, 1057, 1132, 1309, 1325, 1382, 1392, 1470, 1524, 2499, 2674, 2719, 2881, 2958, 2993, 3038, 3361, 3396, 3779, 3835, 3986, 4043, 4047, 4056, 4514, 4534, 5233, 5345, 6327, 7592, 8829, 9183, 9781, 10433, 10499, 10869, 12144, 12386, 12564, 13313, 14584, 15185, 23375, 23497, 27182, 27227, 44768 ]
3
[ 0, 4, 38, 7, 39, 4, 13, 1, 1, 13, 62, 23, 8, 9, 1, 3, 6, 84, 14, 17, 85, 25, 45, 47, 42, 48, 78, 88, 13, 56, 27, 6, 13, 52, 77, 8, 75, 177, 16, 57, 10, 78, 54, 975, 175, 45, 162, 77, 35, 45, 323, 35, 383, 56, 151, 57, 4, 9, 458, 20, 699, 112, 982, 1265, 1237, 354, 598, 652, 66, 370, 1275, 242, 178, 749, 1271, 601, 8190, 122, 3685, 45, 17541 ]
81
4,443
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1 ]
[ 0, 1, 3, 8, 10, 23, 23, 24, 28, 28, 29, 32, 32, 35, 36, 37, 41, 66, 68, 73, 74, 76, 78, 78, 88, 93, 118, 131, 136, 137, 137, 144, 144, 145, 148, 157, 164, 167, 168, 175, 176, 202, 202, 204, 211, 233, 246, 254, 258, 264, 269, 273, 320, 375, 379, 386, 438, 480, 500, 564, 600, 609, 615, 620, 635, 653, 714, 740, 814, 853, 885, 910, 1103, 1116, 1165, 1203, 1214, 1289, 1634, 1646, 1646, 1650, 2663, 2735, 2955, 3245, 3263, 3604, 3612, 4200, 4357, 5203, 5354, 6098, 6469, 6614, 6792, 7137, 7160, 7167, 7543, 7641, 7818, 8785, 9228, 9854, 10621, 10645, 10680, 10730, 10752, 10864, 10922, 10949, 11483, 11547, 11702, 11707, 12198, 13171, 16161, 20923, 21324, 21570, 22882, 23086, 23230, 23305, 23575, 23718, 23770, 24209, 27212, 27290, 30332, 30513, 31646, 34319, 34427, 34469, 34512, 34952, 40495, 48679, 55357, 62551, 68455, 72427, 75439, 78922, 80967, 103083, 105339, 106101, 107881, 107904, 107907, 107915, 107916, 107932, 107932, 107933, 107940, 107942, 107947, 107956, 107957, 107960, 107983, 107984, 107993, 108029, 108033, 108043, 108057, 108063, 108106, 108108, 108125, 108134, 108140, 108151, 108165, 108171, 108171, 108173, 108223, 108224, 108301, 108318, 108409, 108410, 108412, 108474, 108514, 108554, 108664, 108861, 108962, 109094, 109849, 109890, 110997, 111502, 111996, 116000, 119175, 121355, 124890, 130665, 150366, 167788, 191699, 193048, 225154, 227419, 229344, 236583, 237566, 252726, 264879, 265497, 266751, 271588, 303349, 318061, 327190, 346769, 405965, 519249 ]
3
[ 0, 1, 2, 5, 2, 13, 0, 1, 4, 0, 1, 3, 0, 3, 1, 1, 4, 25, 2, 5, 1, 2, 2, 0, 10, 5, 25, 13, 5, 1, 0, 7, 0, 1, 3, 9, 7, 3, 1, 7, 1, 26, 0, 2, 7, 22, 13, 8, 4, 6, 5, 4, 47, 55, 4, 7, 52, 42, 20, 64, 36, 9, 6, 5, 15, 18, 61, 26, 74, 39, 32, 25, 193, 13, 49, 38, 11, 75, 345, 12, 0, 4, 1013, 72, 220, 290, 18, 341, 8, 588, 157, 846, 151, 744, 371, 145, 178, 345, 23, 7, 376, 98, 177, 967, 443, 626, 767, 24, 35, 50, 22, 112, 58, 27, 534, 64, 155, 5, 491, 973, 2990, 4762, 401, 246, 1312, 204, 144, 75, 270, 143, 52, 439, 3003, 78, 3042, 181, 1133, 2673, 108, 42, 43, 440, 5543, 8184, 6678, 7194, 5904, 3972, 3012, 3483, 2045, 22116, 2256, 762, 1780, 23, 3, 8, 1, 16, 0, 1, 7, 2, 5, 9, 1, 3, 23, 1, 9, 36, 4, 10, 14, 6, 43, 2, 17, 9, 6, 11, 14, 6, 0, 2, 50, 1, 77, 17, 91, 1, 2, 62, 40, 40, 110, 197, 101, 132, 755, 41, 1107, 505, 494, 4004, 3175, 2180, 3535, 5775, 19701, 17422, 23911, 1349, 32106, 2265, 1925, 7239, 983, 15160, 12153, 618, 1254, 4837, 31761, 14712, 9129, 19579, 59196, 113284 ]
230
4,444
[ 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ]
[ 0, 308, 636, 701, 749, 976, 1023, 1065, 1071, 1120, 1663, 1742, 1876, 2342, 2806, 2846, 2966, 4571, 4629, 5851, 6635, 7022, 7037, 7807, 9655, 9745, 10042, 10665, 10681, 11508, 11562, 11928, 12875, 13814, 13843, 13885, 14441, 16215, 16682, 17171, 18068, 18518, 20074, 20311, 21510, 21918, 22166, 22250, 22324, 22343, 22741, 23116, 23358, 23377, 23559, 23573, 23824, 24645, 24710, 24910, 25674, 25848, 26085, 26493, 27287, 27542, 27659, 27993, 28007, 28160, 28960, 28988, 29339, 30429, 31045, 31805, 32746, 33540, 33767, 34549, 35318, 35560, 35662, 35864, 35889, 36217, 36760, 36949, 37220, 38550, 38637, 39301, 39558, 40099, 40672, 40835, 41129, 41493, 42489, 42507, 42663, 42717, 43873, 44006, 45035, 45757, 46117, 46165, 46234, 46781, 47883, 47935, 48599, 49052, 49148, 50627, 51932, 53244, 54073, 56329, 57332, 60198, 60695, 61361, 61480, 63512, 64709, 66001, 66619, 68676, 72778, 74512, 75060, 77013, 84555, 103852, 110377, 112413, 117222, 117239, 122932, 127739, 142527, 149910, 158754, 166841, 226378, 231885, 446039 ]
3
[ 0, 308, 328, 65, 48, 227, 47, 42, 6, 49, 543, 79, 134, 466, 464, 40, 120, 1605, 58, 1222, 784, 387, 15, 770, 1848, 90, 297, 623, 16, 827, 54, 366, 947, 939, 29, 42, 556, 1774, 467, 489, 897, 450, 1556, 237, 1199, 408, 248, 84, 74, 19, 398, 375, 242, 19, 182, 14, 251, 821, 65, 200, 764, 174, 237, 408, 794, 255, 117, 334, 14, 153, 800, 28, 351, 1090, 616, 760, 941, 794, 227, 782, 769, 242, 102, 202, 25, 328, 543, 189, 271, 1330, 87, 664, 257, 541, 573, 163, 294, 364, 996, 18, 156, 54, 1156, 133, 1029, 722, 360, 48, 69, 547, 1102, 52, 664, 453, 96, 1479, 1305, 1312, 829, 2256, 1003, 2866, 497, 666, 119, 2032, 1197, 1292, 618, 2057, 4102, 1734, 548, 1953, 7542, 19297, 6525, 2036, 4809, 17, 5693, 4807, 14788, 7383, 8844, 8087, 59537, 5507, 214154 ]
149
4,445
[ 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0 ]
[ 0, 16, 19, 26, 26, 29, 31, 33, 35, 36, 39, 40, 46, 47, 49, 51, 51, 51, 57, 60, 64, 75, 75, 76, 76, 78, 80, 83, 87, 87, 93, 99, 100, 101, 103, 108, 110, 112, 115, 119, 119, 121, 128, 135, 142, 151, 154, 156, 157, 160, 166, 178, 180, 188, 195, 201, 224, 244, 245, 261, 266, 268, 301, 306, 314, 322, 323, 347, 350, 358, 367, 391, 403, 421, 428, 441, 462, 470, 505, 525, 533, 537, 539, 539, 561, 579, 617, 618, 619, 630, 676, 688, 757, 763, 796, 824, 873, 957, 1018, 1025, 1192, 1218, 1557, 1842, 1843, 1914, 1943, 1972, 2064, 2234, 2481, 2566, 2983, 2983, 3123, 3132, 3424, 4038, 4086, 4506, 5044, 5817, 6739, 7342, 7735, 8124, 23379, 43198 ]
3
[ 0, 16, 3, 7, 0, 3, 2, 2, 2, 1, 3, 1, 6, 1, 2, 2, 0, 0, 6, 3, 4, 11, 0, 1, 0, 2, 2, 3, 4, 0, 6, 6, 1, 1, 2, 5, 2, 2, 3, 4, 0, 2, 7, 7, 7, 9, 3, 2, 1, 3, 6, 12, 2, 8, 7, 6, 23, 20, 1, 16, 5, 2, 33, 5, 8, 8, 1, 24, 3, 8, 9, 24, 12, 18, 7, 13, 21, 8, 35, 20, 8, 4, 2, 0, 22, 18, 38, 1, 1, 11, 46, 12, 69, 6, 33, 28, 49, 84, 61, 7, 167, 26, 339, 285, 1, 71, 29, 29, 92, 170, 247, 85, 417, 0, 140, 9, 292, 614, 48, 420, 538, 773, 922, 603, 393, 389, 15255, 19819 ]
128
4,446
[ 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1 ]
[ 0, 4, 10, 12, 13, 13, 15, 15, 19, 19, 23, 27, 28, 28, 30, 31, 34, 35, 36, 38, 38, 38, 43, 46, 46, 50, 51, 58, 58, 59, 61, 64, 68, 68, 69, 70, 82, 83, 85, 94, 101, 101, 105, 107, 108, 112, 113, 118, 128, 139, 142, 146, 146, 152, 152, 153, 156, 157, 162, 173, 175, 177, 177, 179, 179, 186, 190, 195, 214, 227, 233, 282, 354, 361, 392, 488, 780, 808, 812, 894, 998, 1082, 1324, 1589, 2003, 2012, 2617, 2875, 3010, 3240, 3601, 6348, 7617, 7912, 19775, 30277, 44050, 55412, 70169, 93499, 183899, 357998 ]
3
[ 0, 4, 6, 2, 1, 0, 2, 0, 4, 0, 4, 4, 1, 0, 2, 1, 3, 1, 1, 2, 0, 0, 5, 3, 0, 4, 1, 7, 0, 1, 2, 3, 4, 0, 1, 1, 12, 1, 2, 9, 7, 0, 4, 2, 1, 4, 1, 5, 10, 11, 3, 4, 0, 6, 0, 1, 3, 1, 5, 11, 2, 2, 0, 2, 0, 7, 4, 5, 19, 13, 6, 49, 72, 7, 31, 96, 292, 28, 4, 82, 104, 84, 242, 265, 414, 9, 605, 258, 135, 230, 361, 2747, 1269, 295, 11863, 10502, 13773, 11362, 14757, 23330, 90400, 174099 ]
102
4,447
[ 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0 ]
[ 0, 2, 17, 18, 21, 22, 24, 26, 27, 27, 27, 27, 28, 29, 31, 32, 32, 32, 33, 38, 40, 45, 50, 57, 58, 60, 62, 63, 64, 67, 70, 77, 77, 86, 90, 90, 94, 97, 112, 113, 121, 122, 124, 127, 142, 143, 145, 148, 158, 167, 179, 189, 191, 204, 219, 241, 296, 307, 335, 376, 586, 654, 939, 1184, 1301, 1630, 1662, 2032, 2562, 2590, 2636, 2691, 3182, 3251, 3815, 4675, 5140, 11183, 16021, 48723, 89950, 93021, 97400, 98425, 98571, 100407, 117366, 125789, 148870 ]
3
[ 0, 2, 15, 1, 3, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 5, 2, 5, 5, 7, 1, 2, 2, 1, 1, 3, 3, 7, 0, 9, 4, 0, 4, 3, 15, 1, 8, 1, 2, 3, 15, 1, 2, 3, 10, 9, 12, 10, 2, 13, 15, 22, 55, 11, 28, 41, 210, 68, 285, 245, 117, 329, 32, 370, 530, 28, 46, 55, 491, 69, 564, 860, 465, 6043, 4838, 32702, 41227, 3071, 4379, 1025, 146, 1836, 16959, 8423, 23081 ]
89
4,448
[ 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0 ]
[ 0, 70, 74, 76, 82, 88, 92, 100, 102, 105, 136, 139, 148, 161, 166, 167, 180, 212, 238, 247, 252, 423, 427, 604, 637, 639, 809, 827, 974, 1073, 1166, 1191, 1199, 1246, 1432, 1488, 1506, 1632, 1793, 1925, 2023, 2091, 2101, 2191, 2523, 2677, 2906, 3201, 3559, 3654, 3720, 4272, 4424, 5166, 7834, 11199, 18335, 28478, 34587, 35037, 35225, 37561, 46010, 51440, 119792, 370909 ]
3
[ 0, 70, 4, 2, 6, 6, 4, 8, 2, 3, 31, 3, 9, 13, 5, 1, 13, 32, 26, 9, 5, 171, 4, 177, 33, 2, 170, 18, 147, 99, 93, 25, 8, 47, 186, 56, 18, 126, 161, 132, 98, 68, 10, 90, 332, 154, 229, 295, 358, 95, 66, 552, 152, 742, 2668, 3365, 7136, 10143, 6109, 450, 188, 2336, 8449, 5430, 68352, 251117 ]
66
4,449
[ 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 11, 16, 29, 31, 35, 42, 44, 45, 46, 55, 56, 59, 62, 66, 69, 70, 76, 80, 95, 103, 107, 119, 121, 122, 133, 151, 153, 158, 160, 198, 208, 230, 246, 316, 328, 333, 366, 407, 414, 422, 437, 439, 461, 475, 478, 485, 501, 522, 526, 526, 572, 599, 656, 657, 659, 663, 675, 677, 701, 716, 764, 792, 907, 980, 1273, 1369, 1392, 1482, 1502, 1776, 1869, 1892, 2172, 2323, 2599, 2802, 2909, 3112, 3458, 3770, 3858, 4116, 8168, 8431, 8490, 9481, 10748, 11760, 12601, 14835, 29207, 29461, 29848, 31648, 42405, 100696, 106708, 106708, 118234, 187100, 367320, 550750 ]
3
[ 0, 11, 5, 13, 2, 4, 7, 2, 1, 1, 9, 1, 3, 3, 4, 3, 1, 6, 4, 15, 8, 4, 12, 2, 1, 11, 18, 2, 5, 2, 38, 10, 22, 16, 70, 12, 5, 33, 41, 7, 8, 15, 2, 22, 14, 3, 7, 16, 21, 4, 0, 46, 27, 57, 1, 2, 4, 12, 2, 24, 15, 48, 28, 115, 73, 293, 96, 23, 90, 20, 274, 93, 23, 280, 151, 276, 203, 107, 203, 346, 312, 88, 258, 4052, 263, 59, 991, 1267, 1012, 841, 2234, 14372, 254, 387, 1800, 10757, 58291, 6012, 0, 11526, 68866, 180220, 183430 ]
103
4,450
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0 ]
[ 0, 5, 8, 14, 55, 78, 217, 472, 1173, 1597, 3451, 3549, 5975, 5981, 6029, 6050, 6076, 6092, 6285, 6298, 6394, 6444, 6628, 6628, 6723, 7192, 7407, 7792, 7835, 7896, 7952, 8190, 8307, 8349, 9135, 9960, 9969, 10195, 10377, 19056, 31509, 31510, 62976, 63230, 63256, 63259, 63262, 63268, 63617, 63626, 63732, 64930, 65107, 65393, 65532, 66201, 66282, 66321, 100086 ]
3
[ 0, 5, 3, 6, 41, 23, 139, 255, 701, 424, 1854, 98, 2426, 6, 48, 21, 26, 16, 193, 13, 96, 50, 184, 0, 95, 469, 215, 385, 43, 61, 56, 238, 117, 42, 786, 825, 9, 226, 182, 8679, 12453, 1, 31466, 254, 26, 3, 3, 6, 349, 9, 106, 1198, 177, 286, 139, 669, 81, 39, 33765 ]
59
4,451
[ 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 0, 7, 11, 14, 17, 26, 29, 33, 35, 35, 38, 47, 53, 55, 60, 60, 71, 82, 83, 97, 100, 110, 131, 144, 144, 150, 162, 195, 227, 267, 274, 277, 280, 281, 285, 347, 432, 461, 462, 501, 579, 580, 583, 623, 679, 683, 784, 789, 953, 990, 1136, 1466, 1840, 1864, 1906, 1919, 3053, 4208, 4831, 5424, 7666, 8124, 8469, 9978, 10320, 11385, 13638, 29729, 61374, 68002, 73912, 88728, 128113, 141027, 161557, 166578, 234786 ]
3
[ 0, 7, 4, 3, 3, 9, 3, 4, 2, 0, 3, 9, 6, 2, 5, 0, 11, 11, 1, 14, 3, 10, 21, 13, 0, 6, 12, 33, 32, 40, 7, 3, 3, 1, 4, 62, 85, 29, 1, 39, 78, 1, 3, 40, 56, 4, 101, 5, 164, 37, 146, 330, 374, 24, 42, 13, 1134, 1155, 623, 593, 2242, 458, 345, 1509, 342, 1065, 2253, 16091, 31645, 6628, 5910, 14816, 39385, 12914, 20530, 5021, 68208 ]
77
4,452
[ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0 ]
[ 0, 0, 3, 8, 9, 17, 22, 31, 38, 41, 43, 48, 57, 60, 60, 65, 66, 72, 74, 78, 81, 82, 84, 89, 95, 112, 119, 121, 142, 160, 163, 176, 177, 186, 203, 205, 206, 220, 246, 257, 259, 271, 285, 287, 298, 380, 396, 430, 445, 501, 533, 574, 580, 597, 739, 748, 751, 755, 756, 762, 970, 1150, 1230, 1428, 2137, 2175, 2363, 2461, 2932, 3322, 3846, 3848, 4391, 5265, 5701, 8976, 9437, 10507, 20536, 57423, 58751, 58796, 65281, 65514, 66938, 70636, 70669, 70760, 72989, 79200, 81170, 81748, 90103, 90692, 91024, 93608, 98652, 122752, 139942, 140255, 140926, 143178, 143611, 143981, 144248, 149097, 173037, 316186, 338162, 399532 ]
3
[ 0, 0, 3, 5, 1, 8, 5, 9, 7, 3, 2, 5, 9, 3, 0, 5, 1, 6, 2, 4, 3, 1, 2, 5, 6, 17, 7, 2, 21, 18, 3, 13, 1, 9, 17, 2, 1, 14, 26, 11, 2, 12, 14, 2, 11, 82, 16, 34, 15, 56, 32, 41, 6, 17, 142, 9, 3, 4, 1, 6, 208, 180, 80, 198, 709, 38, 188, 98, 471, 390, 524, 2, 543, 874, 436, 3275, 461, 1070, 10029, 36887, 1328, 45, 6485, 233, 1424, 3698, 33, 91, 2229, 6211, 1970, 578, 8355, 589, 332, 2584, 5044, 24100, 17190, 313, 671, 2252, 433, 370, 267, 4849, 23940, 143149, 21976, 61370 ]
110
4,453
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 3, 5, 10, 24, 24, 28, 31, 33, 37, 39, 46, 47, 62, 63, 63, 64, 65, 69, 70, 71, 74, 77, 84, 85, 88, 90, 117, 118, 124, 124, 133, 134, 141, 144, 148, 159, 162, 170, 172, 194, 199, 204, 222, 237, 243, 252, 255, 273, 273, 275, 284, 287, 287, 316, 372, 394, 414, 440, 469, 558, 571, 576, 625, 628, 711, 822, 868, 1011, 1688, 1697, 1734, 1902, 2160, 2366, 2382, 2457, 2460, 2523, 2744, 3941, 4449, 9797, 17521, 24704, 31486, 31845, 42934, 49665, 51931, 52059, 54495, 54627, 57749, 57986, 58188, 63217, 63491, 65256, 66701, 66701, 69733, 70903, 70911, 72540, 76121, 76511, 77658, 96847, 108990, 142116, 142543, 144053, 144311, 147283, 147332, 147390, 147437, 151645, 151797, 151838, 151902, 151913, 153364, 156774, 156926, 165088, 165286, 172779, 175080, 178397, 218839, 226877, 227402, 237952, 238629, 253586, 267357, 294114, 300309, 302466, 303158, 318277, 319277, 321900, 322907, 323789, 323789, 324063, 325088, 328839, 334344, 334982, 335225, 384994, 387783, 387946, 396893, 409657, 414206, 417267, 417712, 418068, 419494, 431659, 579985, 582396 ]
3
[ 0, 3, 2, 5, 14, 0, 4, 3, 2, 4, 2, 7, 1, 15, 1, 0, 1, 1, 4, 1, 1, 3, 3, 7, 1, 3, 2, 27, 1, 6, 0, 9, 1, 7, 3, 4, 11, 3, 8, 2, 22, 5, 5, 18, 15, 6, 9, 3, 18, 0, 2, 9, 3, 0, 29, 56, 22, 20, 26, 29, 89, 13, 5, 49, 3, 83, 111, 46, 143, 677, 9, 37, 168, 258, 206, 16, 75, 3, 63, 221, 1197, 508, 5348, 7724, 7183, 6782, 359, 11089, 6731, 2266, 128, 2436, 132, 3122, 237, 202, 5029, 274, 1765, 1445, 0, 3032, 1170, 8, 1629, 3581, 390, 1147, 19189, 12143, 33126, 427, 1510, 258, 2972, 49, 58, 47, 4208, 152, 41, 64, 11, 1451, 3410, 152, 8162, 198, 7493, 2301, 3317, 40442, 8038, 525, 10550, 677, 14957, 13771, 26757, 6195, 2157, 692, 15119, 1000, 2623, 1007, 882, 0, 274, 1025, 3751, 5505, 638, 243, 49769, 2789, 163, 8947, 12764, 4549, 3061, 445, 356, 1426, 12165, 148326, 2411 ]
167
4,454
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1 ]
[ 0, 2, 5, 6, 8, 18, 19, 23, 33, 43, 70, 71, 76, 85, 95, 108, 109, 140, 244, 276, 325, 338, 378, 401, 429, 611, 691, 696, 762, 778, 848, 994, 1431, 1450, 1709, 1820, 1997, 2098, 2268, 2288, 2924, 3131, 3278, 3638, 4328, 4484, 5578, 5603, 6175, 8274, 11160, 20533, 22199, 30115, 36836, 78850, 172611, 575955, 580194, 603389 ]
3
[ 0, 2, 3, 1, 2, 10, 1, 4, 10, 10, 27, 1, 5, 9, 10, 13, 1, 31, 104, 32, 49, 13, 40, 23, 28, 182, 80, 5, 66, 16, 70, 146, 437, 19, 259, 111, 177, 101, 170, 20, 636, 207, 147, 360, 690, 156, 1094, 25, 572, 2099, 2886, 9373, 1666, 7916, 6721, 42014, 93761, 403344, 4239, 23195 ]
60
4,455
[ 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0 ]
[ 0, 105, 128, 198, 213, 249, 393, 634, 756, 795, 801, 972, 1006, 1134, 1166, 1332, 1344, 1481, 1970, 2439, 2617, 2744, 2868, 3286, 3553, 3697, 3738, 4016, 4885, 4980, 5470, 6188, 6678, 6917, 6942, 7584, 10936, 11575, 12682, 12979, 13626, 14760, 15170, 16098, 16657, 17546, 18212, 19986, 20076, 20535, 21999, 22200, 22486, 22636, 22791, 25474, 26176, 26337, 26512, 28208, 28485, 28700, 28869, 29641, 29853, 30455, 35082, 39942, 41911, 47718, 47964, 60739, 80517, 106313 ]
3
[ 0, 105, 23, 70, 15, 36, 144, 241, 122, 39, 6, 171, 34, 128, 32, 166, 12, 137, 489, 469, 178, 127, 124, 418, 267, 144, 41, 278, 869, 95, 490, 718, 490, 239, 25, 642, 3352, 639, 1107, 297, 647, 1134, 410, 928, 559, 889, 666, 1774, 90, 459, 1464, 201, 286, 150, 155, 2683, 702, 161, 175, 1696, 277, 215, 169, 772, 212, 602, 4627, 4860, 1969, 5807, 246, 12775, 19778, 25796 ]
74
4,456
[ 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ]
[ 0, 14, 35, 44, 53, 56, 56, 131, 149, 152, 166, 193, 197, 221, 253, 284, 299, 300, 314, 323, 327, 331, 332, 334, 343, 354, 370, 427, 450, 489, 511, 570, 573, 612, 842, 1158, 1269, 1471, 1822, 1835, 1845, 1888, 1917, 2135, 2370, 2521, 2532, 2823, 3563, 4749, 4908, 5187, 5316, 5552, 6359, 7772, 7840, 17681, 191350 ]
3
[ 0, 14, 21, 9, 9, 3, 0, 75, 18, 3, 14, 27, 4, 24, 32, 31, 15, 1, 14, 9, 4, 4, 1, 2, 9, 11, 16, 57, 23, 39, 22, 59, 3, 39, 230, 316, 111, 202, 351, 13, 10, 43, 29, 218, 235, 151, 11, 291, 740, 1186, 159, 279, 129, 236, 807, 1413, 68, 9841, 173669 ]
59
4,457
[ 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1 ]
[ 0, 3, 3, 3, 5, 5, 5, 6, 7, 8, 8, 9, 10, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 19, 19, 20, 20, 21, 22, 22, 23, 23, 23, 24, 24, 24, 26, 26, 28, 28, 30, 31, 31, 32, 32, 33, 33, 34, 34, 34, 35, 35, 36, 36, 37, 37, 37, 39, 40, 41, 41, 44, 45, 45, 45, 46, 47, 47, 50, 51, 51, 51, 52, 53, 53, 53, 53, 55, 56, 56, 56, 57, 58, 61, 62, 63, 63, 63, 64, 64, 66, 67, 67, 67, 127, 127, 129, 130, 133, 134, 134, 135, 138, 139, 144, 144, 151, 152, 152, 152, 155, 157, 164, 166, 166, 168, 169, 170, 172, 180, 183, 186, 191, 193, 202, 209, 213, 225, 231, 232, 232, 234, 243, 247, 315, 318, 341, 347, 384, 399, 403, 407, 411, 475, 487, 540, 598, 678, 738, 873, 1059, 1063, 1106, 1110, 1205, 1436, 1902, 1946, 2005, 2009, 2259, 2341, 3235, 3271, 3468, 3927, 3945, 4069, 4133, 4186, 4337, 4381, 5123, 5482, 6814, 6825, 7411, 8643, 10028, 10462, 13353, 14157, 16784, 30551, 33731, 33812, 34045, 34156, 36435, 36610, 36765, 36814, 36910, 37265, 37297, 37484, 37772, 37911, 39004, 39016, 39871, 41639, 43076, 43098, 44363, 44653, 45032, 45697, 46123, 46155, 46157, 46487, 47749, 47926, 48179, 51329, 53335, 55535, 56415, 57819, 60242, 65128, 65316, 68496, 69597, 79319, 79572, 79622, 79813, 88881, 96768, 158262 ]
3
[ 0, 3, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 3, 1, 0, 0, 1, 1, 0, 3, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 3, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 60, 0, 2, 1, 3, 1, 0, 1, 3, 1, 5, 0, 7, 1, 0, 0, 3, 2, 7, 2, 0, 2, 1, 1, 2, 8, 3, 3, 5, 2, 9, 7, 4, 12, 6, 1, 0, 2, 9, 4, 68, 3, 23, 6, 37, 15, 4, 4, 4, 64, 12, 53, 58, 80, 60, 135, 186, 4, 43, 4, 95, 231, 466, 44, 59, 4, 250, 82, 894, 36, 197, 459, 18, 124, 64, 53, 151, 44, 742, 359, 1332, 11, 586, 1232, 1385, 434, 2891, 804, 2627, 13767, 3180, 81, 233, 111, 2279, 175, 155, 49, 96, 355, 32, 187, 288, 139, 1093, 12, 855, 1768, 1437, 22, 1265, 290, 379, 665, 426, 32, 2, 330, 1262, 177, 253, 3150, 2006, 2200, 880, 1404, 2423, 4886, 188, 3180, 1101, 9722, 253, 50, 191, 9068, 7887, 61494 ]
236
4,458
[ 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0 ]
[ 0, 16, 33, 53, 138, 144, 145, 156, 160, 181, 186, 191, 191, 192, 215, 226, 316, 489, 766, 993, 1071, 1078, 1163, 1321, 1351, 1420, 1603, 1648, 1841, 1855, 2577, 2579, 2750, 2950, 3409, 3794, 4043, 4059, 4211, 4322, 4514, 4621, 4693, 5871, 5945, 6589, 7528, 9961, 10057, 11828, 13597, 18459, 19307, 21997 ]
3
[ 0, 16, 17, 20, 85, 6, 1, 11, 4, 21, 5, 5, 0, 1, 23, 11, 90, 173, 277, 227, 78, 7, 85, 158, 30, 69, 183, 45, 193, 14, 722, 2, 171, 200, 459, 385, 249, 16, 152, 111, 192, 107, 72, 1178, 74, 644, 939, 2433, 96, 1771, 1769, 4862, 848, 2690 ]
54
4,459
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 18, 19, 23, 24, 26, 30, 31, 32, 37, 37, 40, 57, 57, 57, 58, 61, 65, 68, 70, 70, 71, 72, 75, 78, 84, 88, 92, 96, 98, 103, 105, 117, 122, 122, 124, 128, 131, 133, 144, 146, 160, 178, 182, 183, 186, 197, 199, 199, 218, 247, 280, 308, 349, 508, 631, 697, 885, 1412, 1518, 1575, 1575, 2124, 2188, 2449, 2602, 3716, 3821, 3884, 4930, 6722, 9375, 9881, 11581, 22141, 56983, 58316, 59603, 59992, 60543, 60552, 60560, 60570, 60582, 60584, 60589, 60597, 60629, 60630, 60632, 60634, 60683, 60700, 60702, 60720, 60726, 60784, 60791, 60811, 60866, 60885, 60908, 61060, 61174, 61275, 61819, 61923, 62078, 62118, 62392, 63292, 63314, 63325, 63368, 64082, 65195, 66140, 67888, 85306, 85808, 115525, 315605 ]
3
[ 0, 18, 1, 4, 1, 2, 4, 1, 1, 5, 0, 3, 17, 0, 0, 1, 3, 4, 3, 2, 0, 1, 1, 3, 3, 6, 4, 4, 4, 2, 5, 2, 12, 5, 0, 2, 4, 3, 2, 11, 2, 14, 18, 4, 1, 3, 11, 2, 0, 19, 29, 33, 28, 41, 159, 123, 66, 188, 527, 106, 57, 0, 549, 64, 261, 153, 1114, 105, 63, 1046, 1792, 2653, 506, 1700, 10560, 34842, 1333, 1287, 389, 551, 9, 8, 10, 12, 2, 5, 8, 32, 1, 2, 2, 49, 17, 2, 18, 6, 58, 7, 20, 55, 19, 23, 152, 114, 101, 544, 104, 155, 40, 274, 900, 22, 11, 43, 714, 1113, 945, 1748, 17418, 502, 29717, 200080 ]
122
4,460
[ 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0 ]
[ 0, 3, 4, 13, 15, 18, 21, 22, 26, 28, 32, 34, 38, 41, 46, 46, 54, 55, 61, 65, 66, 67, 68, 68, 73, 81, 81, 88, 92, 97, 115, 124, 128, 130, 132, 133, 138, 144, 153, 161, 167, 170, 175, 178, 182, 185, 187, 187, 202, 208, 209, 225, 231, 238, 295, 300, 306, 308, 311, 314, 316, 316, 324, 328, 331, 339, 353, 357, 369, 372, 386, 469, 470, 538, 555, 573, 591, 605, 616, 621, 631, 660, 671, 681, 693, 703, 725, 737, 744, 759, 803, 837, 906, 978, 980, 986, 1042, 1125, 1148, 1275, 1295, 1424, 1451, 1529, 1652, 1734, 1741, 1783, 1918, 1949, 2085, 2179, 2201, 2232, 2245, 2318, 2362, 2410, 2426, 2527, 3108, 3183, 3249, 3292, 3333, 3429, 3637, 3764, 3840, 3932, 4271, 4461, 5882, 6911, 7337, 9957, 10270, 10436, 10496, 10677, 11695, 12301, 13100, 13971, 20591, 21706, 23768, 28416, 28725, 29990, 33463, 71083, 83730, 93804, 109119, 113197, 159158, 174608, 191707, 253214, 260677, 310780, 326030, 347589, 404621 ]
3
[ 0, 3, 1, 9, 2, 3, 3, 1, 4, 2, 4, 2, 4, 3, 5, 0, 8, 1, 6, 4, 1, 1, 1, 0, 5, 8, 0, 7, 4, 5, 18, 9, 4, 2, 2, 1, 5, 6, 9, 8, 6, 3, 5, 3, 4, 3, 2, 0, 15, 6, 1, 16, 6, 7, 57, 5, 6, 2, 3, 3, 2, 0, 8, 4, 3, 8, 14, 4, 12, 3, 14, 83, 1, 68, 17, 18, 18, 14, 11, 5, 10, 29, 11, 10, 12, 10, 22, 12, 7, 15, 44, 34, 69, 72, 2, 6, 56, 83, 23, 127, 20, 129, 27, 78, 123, 82, 7, 42, 135, 31, 136, 94, 22, 31, 13, 73, 44, 48, 16, 101, 581, 75, 66, 43, 41, 96, 208, 127, 76, 92, 339, 190, 1421, 1029, 426, 2620, 313, 166, 60, 181, 1018, 606, 799, 871, 6620, 1115, 2062, 4648, 309, 1265, 3473, 37620, 12647, 10074, 15315, 4078, 45961, 15450, 17099, 61507, 7463, 50103, 15250, 21559, 57032 ]
165
4,461
[ 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4, 29, 32, 72, 77, 84, 90, 97, 105, 120, 162, 164, 262, 318, 334, 712, 754, 1245, 1786, 2153, 2939, 5379, 5624, 5652, 5706, 5810, 5964, 6349, 7324, 7915, 12011, 12085, 12728, 12788, 12794, 12830, 12990, 13106, 13789, 13893, 13899, 14278, 14515, 16297, 16416, 19838, 20242, 23410, 23967, 33905, 56802, 57319, 83943, 83995, 84089, 84462, 330005, 350982 ]
3
[ 0, 4, 25, 3, 40, 5, 7, 6, 7, 8, 15, 42, 2, 98, 56, 16, 378, 42, 491, 541, 367, 786, 2440, 245, 28, 54, 104, 154, 385, 975, 591, 4096, 74, 643, 60, 6, 36, 160, 116, 683, 104, 6, 379, 237, 1782, 119, 3422, 404, 3168, 557, 9938, 22897, 517, 26624, 52, 94, 373, 245543, 20977 ]
59
4,462
[ 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1 ]
[ 0, 26, 38, 48, 61, 64, 71, 73, 91, 106, 106, 106, 107, 125, 134, 134, 143, 156, 156, 157, 158, 173, 194, 207, 211, 223, 226, 230, 300, 306, 315, 324, 340, 366, 395, 446, 458, 515, 617, 617, 844, 853, 937, 990, 1110, 1386, 1459, 2189, 6048, 6615 ]
3
[ 0, 26, 12, 10, 13, 3, 7, 2, 18, 15, 0, 0, 1, 18, 9, 0, 9, 13, 0, 1, 1, 15, 21, 13, 4, 12, 3, 4, 70, 6, 9, 9, 16, 26, 29, 51, 12, 57, 102, 0, 227, 9, 84, 53, 120, 276, 73, 730, 3859, 567 ]
50
4,463
[ 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 8, 9, 21, 29, 30, 33, 39, 45, 57, 57, 57, 61, 62, 63, 68, 74, 77, 84, 92, 96, 103, 110, 115, 129, 130, 138, 159, 167, 170, 181, 203, 218, 230, 234, 280, 302, 305, 334, 345, 354, 408, 423, 426, 574, 593, 615, 635, 719, 769, 793, 829, 831, 917, 938, 1101, 1320, 1397, 1808, 1850, 1850, 2330, 2528, 2648, 4220, 4384, 4407, 5072, 6542, 7568, 8258, 9924, 15288, 15523, 16093, 22894, 26769, 36385, 38637, 42049, 46512, 61314, 65837, 73760, 85473, 88043, 92370, 150472, 155092, 156381, 162884, 165580, 168473, 168481, 173943, 174485, 177983, 218491, 218503, 219236, 219257, 219262, 219263, 219267, 219270, 219275, 219278, 219279, 219280, 219283, 219283, 219288, 219308, 219312, 219324, 219325, 219340, 219355, 219356, 219363, 219385, 219385, 219395, 219399, 219399, 219402, 219411, 219427, 219433, 219443, 219451, 219466, 219495, 219501, 219521, 219534, 219572, 219601, 219664, 219675, 219692, 219737, 219892, 220026, 220633, 224503, 267264, 301786, 302299, 413326, 414546, 414848, 425994, 427889, 430012, 430986, 516211, 598186, 603269 ]
3
[ 0, 8, 1, 12, 8, 1, 3, 6, 6, 12, 0, 0, 4, 1, 1, 5, 6, 3, 7, 8, 4, 7, 7, 5, 14, 1, 8, 21, 8, 3, 11, 22, 15, 12, 4, 46, 22, 3, 29, 11, 9, 54, 15, 3, 148, 19, 22, 20, 84, 50, 24, 36, 2, 86, 21, 163, 219, 77, 411, 42, 0, 480, 198, 120, 1572, 164, 23, 665, 1470, 1026, 690, 1666, 5364, 235, 570, 6801, 3875, 9616, 2252, 3412, 4463, 14802, 4523, 7923, 11713, 2570, 4327, 58102, 4620, 1289, 6503, 2696, 2893, 8, 5462, 542, 3498, 40508, 12, 733, 21, 5, 1, 4, 3, 5, 3, 1, 1, 3, 0, 5, 20, 4, 12, 1, 15, 15, 1, 7, 22, 0, 10, 4, 0, 3, 9, 16, 6, 10, 8, 15, 29, 6, 20, 13, 38, 29, 63, 11, 17, 45, 155, 134, 607, 3870, 42761, 34522, 513, 111027, 1220, 302, 11146, 1895, 2123, 974, 85225, 81975, 5083 ]
159
4,464
[ 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0 ]
[ 0, 12, 15, 16, 16, 17, 20, 25, 28, 29, 30, 32, 43, 48, 51, 53, 54, 57, 61, 62, 66, 66, 66, 68, 74, 74, 80, 83, 84, 96, 97, 102, 102, 106, 106, 113, 115, 115, 120, 124, 129, 145, 145, 148, 167, 181, 183, 184, 195, 199, 205, 211, 213, 213, 247, 257, 266, 276, 294, 302, 319, 324, 345, 348, 350, 350, 350, 366, 377, 382, 388, 389, 392, 393, 409, 409, 427, 437, 457, 478, 502, 507, 523, 557, 608, 619, 643, 674, 683, 686, 742, 845, 917, 1056, 1061, 1088, 1111, 1166, 1189, 1193, 1228, 1228, 1238, 1301, 1359, 1360, 1361, 1364, 1529, 1552, 1582, 1703, 1795, 1839, 1916, 2088, 2232, 2611, 2622, 2766, 3015, 3456, 3808, 3960, 4102, 4893, 5450, 5950, 6401, 7843, 8196, 11166, 14617, 15293, 16612, 19012, 26375, 53721, 55026, 57481, 73788, 82909, 83101, 84753, 88992, 115576, 156943, 180971, 255503, 317785, 341543 ]
3
[ 0, 12, 3, 1, 0, 1, 3, 5, 3, 1, 1, 2, 11, 5, 3, 2, 1, 3, 4, 1, 4, 0, 0, 2, 6, 0, 6, 3, 1, 12, 1, 5, 0, 4, 0, 7, 2, 0, 5, 4, 5, 16, 0, 3, 19, 14, 2, 1, 11, 4, 6, 6, 2, 0, 34, 10, 9, 10, 18, 8, 17, 5, 21, 3, 2, 0, 0, 16, 11, 5, 6, 1, 3, 1, 16, 0, 18, 10, 20, 21, 24, 5, 16, 34, 51, 11, 24, 31, 9, 3, 56, 103, 72, 139, 5, 27, 23, 55, 23, 4, 35, 0, 10, 63, 58, 1, 1, 3, 165, 23, 30, 121, 92, 44, 77, 172, 144, 379, 11, 144, 249, 441, 352, 152, 142, 791, 557, 500, 451, 1442, 353, 2970, 3451, 676, 1319, 2400, 7363, 27346, 1305, 2455, 16307, 9121, 192, 1652, 4239, 26584, 41367, 24028, 74532, 62282, 23758 ]
151
4,465
[ 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1 ]
[ 0, 4, 9, 14, 19, 27, 37, 39, 42, 46, 46, 46, 55, 57, 59, 64, 64, 67, 67, 67, 72, 75, 75, 78, 79, 85, 88, 96, 97, 107, 107, 110, 118, 119, 121, 123, 124, 125, 134, 142, 145, 150, 158, 159, 171, 171, 179, 179, 189, 195, 211, 222, 225, 263, 300, 309, 332, 336, 348, 379, 408, 412, 417, 433, 435, 436, 447, 450, 529, 582, 607, 666, 667, 727, 728, 752, 759, 760, 820, 921, 1079, 2652, 2752, 2810, 2873, 3166, 3344, 5106, 5588, 8565, 8678, 8869, 9850, 10408, 12395, 13295, 17926, 19622 ]
3
[ 0, 4, 5, 5, 5, 8, 10, 2, 3, 4, 0, 0, 9, 2, 2, 5, 0, 3, 0, 0, 5, 3, 0, 3, 1, 6, 3, 8, 1, 10, 0, 3, 8, 1, 2, 2, 1, 1, 9, 8, 3, 5, 8, 1, 12, 0, 8, 0, 10, 6, 16, 11, 3, 38, 37, 9, 23, 4, 12, 31, 29, 4, 5, 16, 2, 1, 11, 3, 79, 53, 25, 59, 1, 60, 1, 24, 7, 1, 60, 101, 158, 1573, 100, 58, 63, 293, 178, 1762, 482, 2977, 113, 191, 981, 558, 1987, 900, 4631, 1696 ]
98
4,466
[ 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0 ]
[ 0, 21, 21, 29, 30, 46, 53, 65, 77, 101, 107, 123, 140, 165, 169, 175, 185, 227, 242, 246, 268, 274, 293, 326, 336, 364, 377, 440, 465, 519, 554, 579, 580, 669, 706, 707, 920, 970, 977, 1037, 1129, 1138, 1393, 1459, 1499, 1529, 1853, 1933, 1947, 2011, 2062, 2194, 2391, 2592, 2718, 2769, 2911, 2962, 3367, 3427, 3445, 3685, 4045, 4105, 4725, 4971, 5378, 5794, 6244, 6819, 7158, 8211, 8470, 9165, 10189, 10270, 10556, 11268, 11576, 11718, 12123, 12218, 13491, 13670, 15232, 16006, 17478, 19032, 27264, 28171, 28975, 34395, 35113, 45453, 60238, 73633, 98388, 100211, 105601, 185054, 385545, 399988, 469621 ]
3
[ 0, 21, 0, 8, 1, 16, 7, 12, 12, 24, 6, 16, 17, 25, 4, 6, 10, 42, 15, 4, 22, 6, 19, 33, 10, 28, 13, 63, 25, 54, 35, 25, 1, 89, 37, 1, 213, 50, 7, 60, 92, 9, 255, 66, 40, 30, 324, 80, 14, 64, 51, 132, 197, 201, 126, 51, 142, 51, 405, 60, 18, 240, 360, 60, 620, 246, 407, 416, 450, 575, 339, 1053, 259, 695, 1024, 81, 286, 712, 308, 142, 405, 95, 1273, 179, 1562, 774, 1472, 1554, 8232, 907, 804, 5420, 718, 10340, 14785, 13395, 24755, 1823, 5390, 79453, 200491, 14443, 69633 ]
103
4,467
[ 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1 ]
[ 0, 3, 5, 7, 10, 11, 14, 15, 22, 28, 32, 39, 42, 42, 49, 51, 56, 60, 62, 68, 72, 84, 85, 94, 99, 101, 105, 149, 156, 165, 168, 182, 205, 214, 261, 325, 377, 385, 388, 462, 490, 771, 892, 925, 1015, 1081, 1239, 1362, 1536, 3178, 3728, 3954, 3976, 9359, 10584, 11685, 20158, 20330, 20587, 22461, 22482, 25926, 29200, 30829, 36510, 36934, 67343, 88273, 99774, 101542, 115403, 116255, 120787, 123541, 197213, 422885 ]
3
[ 0, 3, 2, 2, 3, 1, 3, 1, 7, 6, 4, 7, 3, 0, 7, 2, 5, 4, 2, 6, 4, 12, 1, 9, 5, 2, 4, 44, 7, 9, 3, 14, 23, 9, 47, 64, 52, 8, 3, 74, 28, 281, 121, 33, 90, 66, 158, 123, 174, 1642, 550, 226, 22, 5383, 1225, 1101, 8473, 172, 257, 1874, 21, 3444, 3274, 1629, 5681, 424, 30409, 20930, 11501, 1768, 13861, 852, 4532, 2754, 73672, 225672 ]
76
4,468
[ 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1 ]
[ 0, 5, 21, 21, 23, 31, 34, 35, 36, 40, 41, 53, 58, 75, 81, 92, 93, 99, 110, 111, 162, 162, 174, 176, 180, 208, 212, 214, 219, 233, 252, 267, 315, 335, 368, 379, 400, 460, 463, 474, 542, 600, 722, 725, 727, 767, 867, 877, 900, 910, 937, 983, 1020, 1132, 1134, 1230, 1394, 1516, 1547, 1548, 1719, 2079, 2084, 2171, 2320, 2334, 2407, 2461, 2704, 2826, 2999, 3149, 3340, 3438, 3531, 3620, 4013, 4183, 4193, 4250, 4345, 4358, 4439, 4559, 4732, 4993, 5013, 5036, 5040, 5369, 5718, 6620, 7888, 7930, 8255, 8466, 8915, 9106, 10537, 11391, 12252, 12812, 13031, 13151, 14540, 16299, 17563, 17638, 18029, 18261, 18816, 20168, 21838, 22300, 22804, 22876, 24231, 24417, 27108, 28503, 29663, 30272, 30649, 34692, 36047, 37917, 39427, 40006, 67818, 70381, 74298, 83820, 85980, 141749, 162617, 205286 ]
3
[ 0, 5, 16, 0, 2, 8, 3, 1, 1, 4, 1, 12, 5, 17, 6, 11, 1, 6, 11, 1, 51, 0, 12, 2, 4, 28, 4, 2, 5, 14, 19, 15, 48, 20, 33, 11, 21, 60, 3, 11, 68, 58, 122, 3, 2, 40, 100, 10, 23, 10, 27, 46, 37, 112, 2, 96, 164, 122, 31, 1, 171, 360, 5, 87, 149, 14, 73, 54, 243, 122, 173, 150, 191, 98, 93, 89, 393, 170, 10, 57, 95, 13, 81, 120, 173, 261, 20, 23, 4, 329, 349, 902, 1268, 42, 325, 211, 449, 191, 1431, 854, 861, 560, 219, 120, 1389, 1759, 1264, 75, 391, 232, 555, 1352, 1670, 462, 504, 72, 1355, 186, 2691, 1395, 1160, 609, 377, 4043, 1355, 1870, 1510, 579, 27812, 2563, 3917, 9522, 2160, 55769, 20868, 42669 ]
136
4,469
[ 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
[ 0, 16, 61, 82, 113, 135, 140, 182, 185, 209, 220, 220, 230, 232, 243, 257, 269, 314, 331, 336, 354, 369, 388, 391, 413, 437, 464, 481, 498, 503, 558, 561, 589, 691, 707, 932, 989, 1047, 1098, 1251, 1307, 1346, 1493, 1684, 2695, 2950, 3083, 3577, 3794, 3884, 5536, 6382, 7336, 9256, 9779, 19451, 19483, 23292, 23659, 32935, 40377, 112223, 376380, 380816 ]
3
[ 0, 16, 45, 21, 31, 22, 5, 42, 3, 24, 11, 0, 10, 2, 11, 14, 12, 45, 17, 5, 18, 15, 19, 3, 22, 24, 27, 17, 17, 5, 55, 3, 28, 102, 16, 225, 57, 58, 51, 153, 56, 39, 147, 191, 1011, 255, 133, 494, 217, 90, 1652, 846, 954, 1920, 523, 9672, 32, 3809, 367, 9276, 7442, 71846, 264157, 4436 ]
64
4,470
[ 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1 ]
[ 0, 7, 10, 11, 16, 17, 21, 26, 32, 33, 39, 41, 45, 47, 47, 53, 54, 54, 56, 60, 72, 72, 73, 76, 76, 84, 90, 94, 107, 110, 110, 112, 113, 114, 119, 121, 123, 124, 131, 131, 132, 154, 156, 160, 160, 170, 173, 176, 182, 187, 188, 193, 193, 196, 202, 207, 213, 219, 232, 239, 260, 265, 268, 274, 278, 286, 301, 305, 316, 356, 366, 368, 376, 380, 388, 469, 500, 501, 509, 520, 581, 637, 663, 670, 708, 718, 776, 777, 779, 784, 789, 808, 833, 870, 923, 924, 994, 1039, 1135, 1257, 1283, 1346, 1369, 1386, 1454, 1468, 1476, 1747, 1761, 1831, 1861, 1899, 2214, 2252, 2273, 2409, 2457, 2490, 2508, 2748, 2816, 2996, 2996, 3216, 3269, 3301, 4018, 4108, 4145, 4255, 4277, 4339, 4391, 5536, 5681, 6469, 6498, 6743, 6751, 7363, 8292, 8426, 8591, 8623, 8674, 9852, 9969, 10625, 11278, 11396, 11458, 12417, 12477, 12891, 13112, 13425, 14588, 15815, 17173, 18388, 21317, 21590, 21892, 22994, 23042, 27461, 27856, 28533, 28870, 34854, 36771, 38845, 44785, 47691, 49400, 52950, 53379, 57903, 58047, 61020, 64705, 66021, 68597, 71543, 72032, 76227, 78692, 86222, 91538, 100632, 125601, 146126, 157041, 161330, 161361, 161364, 161377, 161380, 161396, 161452, 161458, 161471, 161477, 161494, 161498, 161512, 161512, 161519, 161634, 161882, 161887, 161896, 161910, 162090, 163478, 163569, 163758, 164607, 164768, 165374, 165375, 166270, 167880, 169011, 182649, 183421, 183502, 186192, 206680, 421819 ]
3
[ 0, 7, 3, 1, 5, 1, 4, 5, 6, 1, 6, 2, 4, 2, 0, 6, 1, 0, 2, 4, 12, 0, 1, 3, 0, 8, 6, 4, 13, 3, 0, 2, 1, 1, 5, 2, 2, 1, 7, 0, 1, 22, 2, 4, 0, 10, 3, 3, 6, 5, 1, 5, 0, 3, 6, 5, 6, 6, 13, 7, 21, 5, 3, 6, 4, 8, 15, 4, 11, 40, 10, 2, 8, 4, 8, 81, 31, 1, 8, 11, 61, 56, 26, 7, 38, 10, 58, 1, 2, 5, 5, 19, 25, 37, 53, 1, 70, 45, 96, 122, 26, 63, 23, 17, 68, 14, 8, 271, 14, 70, 30, 38, 315, 38, 21, 136, 48, 33, 18, 240, 68, 180, 0, 220, 53, 32, 717, 90, 37, 110, 22, 62, 52, 1145, 145, 788, 29, 245, 8, 612, 929, 134, 165, 32, 51, 1178, 117, 656, 653, 118, 62, 959, 60, 414, 221, 313, 1163, 1227, 1358, 1215, 2929, 273, 302, 1102, 48, 4419, 395, 677, 337, 5984, 1917, 2074, 5940, 2906, 1709, 3550, 429, 4524, 144, 2973, 3685, 1316, 2576, 2946, 489, 4195, 2465, 7530, 5316, 9094, 24969, 20525, 10915, 4289, 31, 3, 13, 3, 16, 56, 6, 13, 6, 17, 4, 14, 0, 7, 115, 248, 5, 9, 14, 180, 1388, 91, 189, 849, 161, 606, 1, 895, 1610, 1131, 13638, 772, 81, 2690, 20488, 215139 ]
230
4,471
[ 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1 ]
[ 0, 2, 12, 15, 18, 32, 33, 35, 36, 39, 41, 48, 51, 55, 80, 90, 93, 115, 148, 166, 184, 184, 188, 191, 202, 207, 208, 211, 238, 246, 252, 260, 266, 312, 316, 325, 351, 373, 382, 385, 393, 402, 442, 452, 480, 483, 591, 591, 601, 601, 617, 627, 654, 726, 740, 787, 811, 856, 918, 937, 980, 1012, 1091, 1142, 1160, 1190, 1254, 1300, 1330, 1372, 1426, 1435, 1443, 1543, 1564, 1586, 1598, 1626, 1656, 1771, 1815, 1840, 1846, 1981, 2039, 2177, 2197, 2215, 2231, 2277, 2287, 2309, 2315, 2324, 2335, 2523, 2545, 2661, 2711, 2752, 2799, 2867, 3950, 4129, 4153, 4405, 4429, 4485, 4536, 4612, 4664, 4692, 4884, 5056, 5303, 5523, 5752, 6312, 6708, 6713, 6720, 6784, 7444, 8230, 8461, 11196, 11245, 11269, 11290, 11386, 11585, 11704, 11723, 11773, 11774, 12435, 12719, 12833, 36560, 36629, 36800, 36849, 37102, 37874, 40130, 40182, 45601, 98920, 100822, 114003 ]
3
[ 0, 2, 10, 3, 3, 14, 1, 2, 1, 3, 2, 7, 3, 4, 25, 10, 3, 22, 33, 18, 18, 0, 4, 3, 11, 5, 1, 3, 27, 8, 6, 8, 6, 46, 4, 9, 26, 22, 9, 3, 8, 9, 40, 10, 28, 3, 108, 0, 10, 0, 16, 10, 27, 72, 14, 47, 24, 45, 62, 19, 43, 32, 79, 51, 18, 30, 64, 46, 30, 42, 54, 9, 8, 100, 21, 22, 12, 28, 30, 115, 44, 25, 6, 135, 58, 138, 20, 18, 16, 46, 10, 22, 6, 9, 11, 188, 22, 116, 50, 41, 47, 68, 1083, 179, 24, 252, 24, 56, 51, 76, 52, 28, 192, 172, 247, 220, 229, 560, 396, 5, 7, 64, 660, 786, 231, 2735, 49, 24, 21, 96, 199, 119, 19, 50, 1, 661, 284, 114, 23727, 69, 171, 49, 253, 772, 2256, 52, 5419, 53319, 1902, 13181 ]
150
4,472
[ 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0 ]
[ 0, 7, 22, 24, 36, 37, 38, 48, 60, 63, 87, 88, 92, 104, 128, 143, 163, 172, 184, 187, 217, 223, 231, 252, 254, 279, 281, 296, 304, 311, 385, 398, 407, 411, 435, 474, 497, 540, 561, 687, 691, 757, 771, 938, 968, 1050, 1094, 1094, 1151, 1289, 1578, 1669, 1708, 1743, 1747, 1752, 1760, 1770, 1794, 1809, 1810, 1828, 1842, 1856, 1872, 1894, 1905, 1912, 2014, 2053, 2057, 2091, 2091, 2096, 2104, 2119, 2305, 2430, 2545, 2587, 2589, 2944, 3185, 3236, 3313, 3659, 4308, 4399, 4665, 5786, 5823, 5909, 6161, 6455, 6904, 6927, 7324, 7392, 7567, 7631, 7639, 7711, 7848, 7900, 8027, 8259, 8653, 10279, 10365, 10370, 10482, 11081, 12242, 12328, 14676, 16680, 16761, 17556, 21083, 21793, 22001, 25185, 25879, 27157, 28501, 29295, 30796, 31987, 32059, 71128, 72368, 73106, 77379, 79880, 83492, 85503, 86660, 90699, 92948, 93707, 93747, 93749, 93798, 95436, 106214, 110188, 114691, 120710, 127647, 147963, 156292, 171118, 176473, 179196, 179991, 197945, 198138, 199137, 248810, 252856, 259689, 260322, 266362, 284726, 337755, 344043, 353054, 354481, 356423, 369234, 431130, 435347, 444259, 444694, 478919, 524745, 525290, 525822, 566762, 582692 ]
3
[ 0, 7, 15, 2, 12, 1, 1, 10, 12, 3, 24, 1, 4, 12, 24, 15, 20, 9, 12, 3, 30, 6, 8, 21, 2, 25, 2, 15, 8, 7, 74, 13, 9, 4, 24, 39, 23, 43, 21, 126, 4, 66, 14, 167, 30, 82, 44, 0, 57, 138, 289, 91, 39, 35, 4, 5, 8, 10, 24, 15, 1, 18, 14, 14, 16, 22, 11, 7, 102, 39, 4, 34, 0, 5, 8, 15, 186, 125, 115, 42, 2, 355, 241, 51, 77, 346, 649, 91, 266, 1121, 37, 86, 252, 294, 449, 23, 397, 68, 175, 64, 8, 72, 137, 52, 127, 232, 394, 1626, 86, 5, 112, 599, 1161, 86, 2348, 2004, 81, 795, 3527, 710, 208, 3184, 694, 1278, 1344, 794, 1501, 1191, 72, 39069, 1240, 738, 4273, 2501, 3612, 2011, 1157, 4039, 2249, 759, 40, 2, 49, 1638, 10778, 3974, 4503, 6019, 6937, 20316, 8329, 14826, 5355, 2723, 795, 17954, 193, 999, 49673, 4046, 6833, 633, 6040, 18364, 53029, 6288, 9011, 1427, 1942, 12811, 61896, 4217, 8912, 435, 34225, 45826, 545, 532, 40940, 15930 ]
180
4,473
[ 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 21, 25, 56, 57, 98, 112, 117, 118, 118, 127, 136, 155, 174, 209, 214, 228, 229, 235, 244, 264, 264, 277, 288, 315, 330, 335, 344, 346, 477, 526, 566, 641, 703, 711, 720, 772, 821, 843, 852, 1114, 1130, 1557, 1786, 1835, 1873, 1954, 2681, 2877, 3889, 4780, 5758, 7130, 8589, 8595, 9980, 19512, 25218, 27788, 30191, 32996, 33343, 42186, 47595, 47759 ]
3
[ 0, 21, 4, 31, 1, 41, 14, 5, 1, 0, 9, 9, 19, 19, 35, 5, 14, 1, 6, 9, 20, 0, 13, 11, 27, 15, 5, 9, 2, 131, 49, 40, 75, 62, 8, 9, 52, 49, 22, 9, 262, 16, 427, 229, 49, 38, 81, 727, 196, 1012, 891, 978, 1372, 1459, 6, 1385, 9532, 5706, 2570, 2403, 2805, 347, 8843, 5409, 164 ]
65
4,474
[ 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 70, 76, 90, 112, 163, 187, 192, 235, 276, 277, 277, 290, 343, 428, 502, 697, 714, 949, 1009, 1228, 1230, 1270, 1466, 1935, 2099, 2205, 2290, 2331, 2437, 2523, 2592, 2646, 3051, 3119, 3240, 3373, 3408, 3428, 3664, 4285, 4711, 4848, 4849, 6599, 6677, 7218, 9317, 10122, 13386, 14244, 14641, 14684, 17346, 21578, 22858, 25930, 28918, 31779, 36871, 37277, 38440, 41187, 41239, 41564, 44220, 45908, 48003, 52346, 56615, 83881, 105000, 144128, 224815, 483900 ]
3
[ 0, 70, 6, 14, 22, 51, 24, 5, 43, 41, 1, 0, 13, 53, 85, 74, 195, 17, 235, 60, 219, 2, 40, 196, 469, 164, 106, 85, 41, 106, 86, 69, 54, 405, 68, 121, 133, 35, 20, 236, 621, 426, 137, 1, 1750, 78, 541, 2099, 805, 3264, 858, 397, 43, 2662, 4232, 1280, 3072, 2988, 2861, 5092, 406, 1163, 2747, 52, 325, 2656, 1688, 2095, 4343, 4269, 27266, 21119, 39128, 80687, 259085 ]
75
4,475
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 3, 3, 5, 5, 6, 7, 8, 8, 11, 11, 11, 12, 12, 12, 13, 14, 14, 14, 15, 15, 17, 17, 18, 19, 20, 20, 21, 22, 22, 23, 23, 26, 27, 27, 29, 29, 30, 31, 32, 33, 34, 35, 37, 38, 38, 38, 43, 43, 44, 44, 44, 45, 45, 48, 49, 53, 58, 58, 62, 64, 65, 66, 66, 67, 69, 72, 73, 75, 77, 78, 79, 81, 82, 82, 82, 84, 84, 84, 88, 89, 93, 94, 95, 97, 104, 113, 115, 115, 171, 192, 197, 205, 206, 207, 216, 221, 254, 256, 257, 259, 282, 287, 289, 301, 363, 365, 386, 392, 408, 439, 497, 565, 575, 578, 584, 586, 589, 591, 592, 608, 608, 614, 671, 678, 683, 687, 690, 700, 714, 833, 842, 920, 927, 943, 1298, 1358, 1449, 1746, 2865, 3094, 3360, 6602, 6765, 8624, 8842, 11110, 16911, 161580, 186062, 186277 ]
3
[ 0, 3, 0, 2, 0, 1, 1, 1, 0, 3, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 3, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 5, 0, 1, 0, 0, 1, 0, 3, 1, 4, 5, 0, 4, 2, 1, 1, 0, 1, 2, 3, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 4, 1, 4, 1, 1, 2, 7, 9, 2, 0, 56, 21, 5, 8, 1, 1, 9, 5, 33, 2, 1, 2, 23, 5, 2, 12, 62, 2, 21, 6, 16, 31, 58, 68, 10, 3, 6, 2, 3, 2, 1, 16, 0, 6, 57, 7, 5, 4, 3, 10, 14, 119, 9, 78, 7, 16, 355, 60, 91, 297, 1119, 229, 266, 3242, 163, 1859, 218, 2268, 5801, 144669, 24482, 215 ]
151
4,476
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1 ]
[ 0, 0, 23, 29, 31, 36, 40, 45, 54, 65, 68, 77, 84, 128, 144, 146, 150, 154, 169, 179, 206, 280, 280, 324, 374, 427, 435, 540, 540, 720, 834, 956, 1007, 1048, 1285, 1293, 1386, 1476, 1568, 1820, 2180, 2231, 2257, 2367, 2385, 2403, 3287, 4199, 4735, 5048, 5274, 6603, 6847, 7489, 8303, 8323, 8413, 8493, 8542, 9563, 9599, 10323, 10607, 10653, 10695, 10736, 10836, 10917, 11011, 11022, 11045, 11552, 11788, 13289, 14233, 16934, 20236, 25655, 25931, 32737, 40263, 40460, 42523, 42596, 47311, 47400, 47443, 47460, 47499, 47581, 48199, 48598, 48612, 51974, 52572, 52577, 54355, 56102, 57698, 59236, 66384, 69538, 69752, 73814, 73890, 83979, 99203, 101352, 146464, 146849, 149097, 158834, 262512, 311888, 350232, 375729, 475143, 491118, 589978, 604735 ]
3
[ 0, 0, 23, 6, 2, 5, 4, 5, 9, 11, 3, 9, 7, 44, 16, 2, 4, 4, 15, 10, 27, 74, 0, 44, 50, 53, 8, 105, 0, 180, 114, 122, 51, 41, 237, 8, 93, 90, 92, 252, 360, 51, 26, 110, 18, 18, 884, 912, 536, 313, 226, 1329, 244, 642, 814, 20, 90, 80, 49, 1021, 36, 724, 284, 46, 42, 41, 100, 81, 94, 11, 23, 507, 236, 1501, 944, 2701, 3302, 5419, 276, 6806, 7526, 197, 2063, 73, 4715, 89, 43, 17, 39, 82, 618, 399, 14, 3362, 598, 5, 1778, 1747, 1596, 1538, 7148, 3154, 214, 4062, 76, 10089, 15224, 2149, 45112, 385, 2248, 9737, 103678, 49376, 38344, 25497, 99414, 15975, 98860, 14757 ]
120
4,477
[ 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0 ]
[ 0, 12, 21, 22, 27, 32, 33, 33, 33, 35, 40, 43, 45, 46, 47, 51, 53, 59, 59, 66, 69, 69, 69, 73, 75, 76, 76, 77, 77, 79, 81, 84, 84, 91, 101, 103, 104, 107, 111, 113, 114, 119, 121, 125, 126, 126, 126, 128, 130, 131, 143, 153, 176, 185, 199, 204, 207, 213, 218, 227, 242, 246, 248, 280, 282, 303, 307, 311, 383, 414, 418, 533, 538, 715, 728, 771, 1006, 1225 ]
3
[ 0, 12, 9, 1, 5, 5, 1, 0, 0, 2, 5, 3, 2, 1, 1, 4, 2, 6, 0, 7, 3, 0, 0, 4, 2, 1, 0, 1, 0, 2, 2, 3, 0, 7, 10, 2, 1, 3, 4, 2, 1, 5, 2, 4, 1, 0, 0, 2, 2, 1, 12, 10, 23, 9, 14, 5, 3, 6, 5, 9, 15, 4, 2, 32, 2, 21, 4, 4, 72, 31, 4, 115, 5, 177, 13, 43, 235, 219 ]
78
4,478
[ 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1 ]
[ 0, 11, 13, 16, 20, 25, 47, 60, 69, 87, 139, 179, 246, 280, 315, 388, 388, 432, 434, 439, 482, 485, 652, 715, 803, 887, 1475, 1639, 1867, 1867, 1910, 1910, 2013, 2272, 2644, 2832, 2860, 3028, 3368, 3397, 3411, 4395, 5083, 5281, 5384, 5732, 5982, 6508, 6691, 7022, 7317, 8975, 9000, 9323, 9437, 9991, 10013, 11777, 11779, 14662, 15293, 15778, 18022, 18994, 20259, 29241, 30824, 35019, 35019, 37545, 62405, 63028, 67309, 86209, 87395, 102216, 105692, 133098, 272725, 333005, 453740, 560430, 573750 ]
3
[ 0, 11, 2, 3, 4, 5, 22, 13, 9, 18, 52, 40, 67, 34, 35, 73, 0, 44, 2, 5, 43, 3, 167, 63, 88, 84, 588, 164, 228, 0, 43, 0, 103, 259, 372, 188, 28, 168, 340, 29, 14, 984, 688, 198, 103, 348, 250, 526, 183, 331, 295, 1658, 25, 323, 114, 554, 22, 1764, 2, 2883, 631, 485, 2244, 972, 1265, 8982, 1583, 4195, 0, 2526, 24860, 623, 4281, 18900, 1186, 14821, 3476, 27406, 139627, 60280, 120735, 106690, 13320 ]
83
4,479
[ 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1 ]
[ 0, 2, 5, 11, 12, 20, 21, 22, 22, 23, 27, 29, 31, 31, 45, 48, 52, 52, 56, 61, 64, 65, 82, 91, 102, 104, 122, 128, 137, 143, 148, 174, 180, 183, 197, 214, 283, 284, 299, 335, 384, 410, 419, 566, 600, 647, 657, 685, 703, 767, 928, 1187, 1341, 1390, 1433, 1548, 1595, 2139, 2897, 3086, 3646, 3858, 5504, 5931, 6166, 6467, 7525, 20590, 22893, 24638, 64663, 74097, 77910 ]
3
[ 0, 2, 3, 6, 1, 8, 1, 1, 0, 1, 4, 2, 2, 0, 14, 3, 4, 0, 4, 5, 3, 1, 17, 9, 11, 2, 18, 6, 9, 6, 5, 26, 6, 3, 14, 17, 69, 1, 15, 36, 49, 26, 9, 147, 34, 47, 10, 28, 18, 64, 161, 259, 154, 49, 43, 115, 47, 544, 758, 189, 560, 212, 1646, 427, 235, 301, 1058, 13065, 2303, 1745, 40025, 9434, 3813 ]
73
4,480
[ 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1 ]
[ 0, 74, 85, 91, 107, 125, 152, 158, 183, 228, 244, 387, 400, 464, 576, 805, 870, 875, 1123, 1279, 1329, 1405, 1523, 1629, 1639, 1787, 1947, 1948, 2318, 2790, 2983, 4040, 5450, 5573, 7661, 7820, 7825, 7860, 7943, 7996, 8531, 8959, 9453, 10468, 12430, 14719, 16258, 17494, 19258, 20188, 23017, 25252, 28610, 28722, 28966, 30335, 30661, 31768, 32076, 32785, 34760, 34776, 36565, 38332, 46299, 52747, 150539, 169255, 236435 ]
3
[ 0, 74, 11, 6, 16, 18, 27, 6, 25, 45, 16, 143, 13, 64, 112, 229, 65, 5, 248, 156, 50, 76, 118, 106, 10, 148, 160, 1, 370, 472, 193, 1057, 1410, 123, 2088, 159, 5, 35, 83, 53, 535, 428, 494, 1015, 1962, 2289, 1539, 1236, 1764, 930, 2829, 2235, 3358, 112, 244, 1369, 326, 1107, 308, 709, 1975, 16, 1789, 1767, 7967, 6448, 97792, 18716, 67180 ]
69
4,481
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 1, 7, 8, 8, 12, 12, 16, 17, 17, 18, 19, 22, 23, 24, 26, 27, 28, 29, 30, 33, 37, 38, 40, 41, 42, 43, 44, 45, 48, 49, 50, 54, 56, 57, 57, 58, 60, 62, 65, 66, 67, 68, 69, 72, 74, 74, 77, 86, 86, 91, 92, 95, 97, 98, 98, 99, 100, 100, 101, 103, 103, 106, 118, 128, 131, 135, 136, 136, 143, 155, 156, 159, 159, 160, 164, 175, 176, 177, 185, 190, 199, 201, 209, 225, 234, 253, 254, 263, 270, 280, 283, 292, 315, 320, 323, 338, 348, 352, 373, 397, 402, 413, 415, 429, 434, 454, 508, 522, 574, 602, 662, 662, 682, 682, 708, 770, 845, 856, 893, 904, 915, 926, 943, 982, 990, 1087, 1186, 1225, 1402, 1414, 1473, 1490, 1503, 1535, 1543, 1553, 1635, 1774, 1918, 1956, 1967, 1985, 2003, 2099, 2111, 2306, 2595, 2910, 3107, 3592, 4017, 4155, 4357, 4469, 4770, 5127, 5147, 5651, 5812, 5966, 6296, 7063, 7222, 7662, 7830, 7834, 7886, 9600, 10248, 11196, 12324, 13801, 13981, 16466, 18898, 20192, 20434, 23502, 26938, 27649, 28627, 29359, 30152, 31219, 33160, 34307, 34628, 35397, 37283, 37526, 38096, 38362, 38599, 39170, 40160, 40506, 41278, 41290, 42574, 42990, 43575, 44223, 45332, 46281, 53332, 53843, 58148, 58928, 67980, 70082 ]
3
[ 0, 1, 6, 1, 0, 4, 0, 4, 1, 0, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 3, 4, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 4, 2, 1, 0, 1, 2, 2, 3, 1, 1, 1, 1, 3, 2, 0, 3, 9, 0, 5, 1, 3, 2, 1, 0, 1, 1, 0, 1, 2, 0, 3, 12, 10, 3, 4, 1, 0, 7, 12, 1, 3, 0, 1, 4, 11, 1, 1, 8, 5, 9, 2, 8, 16, 9, 19, 1, 9, 7, 10, 3, 9, 23, 5, 3, 15, 10, 4, 21, 24, 5, 11, 2, 14, 5, 20, 54, 14, 52, 28, 60, 0, 20, 0, 26, 62, 75, 11, 37, 11, 11, 11, 17, 39, 8, 97, 99, 39, 177, 12, 59, 17, 13, 32, 8, 10, 82, 139, 144, 38, 11, 18, 18, 96, 12, 195, 289, 315, 197, 485, 425, 138, 202, 112, 301, 357, 20, 504, 161, 154, 330, 767, 159, 440, 168, 4, 52, 1714, 648, 948, 1128, 1477, 180, 2485, 2432, 1294, 242, 3068, 3436, 711, 978, 732, 793, 1067, 1941, 1147, 321, 769, 1886, 243, 570, 266, 237, 571, 990, 346, 772, 12, 1284, 416, 585, 648, 1109, 949, 7051, 511, 4305, 780, 9052, 2102 ]
211
4,482
[ 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0 ]
[ 0, 429, 590, 632, 655, 838, 1561, 1597, 1800, 1868, 1892, 2147, 2712, 6487, 6998, 7140, 7886, 35698, 35894, 37148, 37564, 38076, 38076, 38390, 38746, 39522, 39979, 42333, 42616, 42652, 43235, 48456, 48541, 48591, 49454, 49504, 49732, 49768, 50106, 50189, 50631, 50704, 51159, 52549, 54354, 57202, 57446, 57725, 57744, 57779, 58110, 62878, 66576, 73070, 77201, 124080, 158897, 234053, 326570 ]
3
[ 0, 429, 161, 42, 23, 183, 723, 36, 203, 68, 24, 255, 565, 3775, 511, 142, 746, 27812, 196, 1254, 416, 512, 0, 314, 356, 776, 457, 2354, 283, 36, 583, 5221, 85, 50, 863, 50, 228, 36, 338, 83, 442, 73, 455, 1390, 1805, 2848, 244, 279, 19, 35, 331, 4768, 3698, 6494, 4131, 46879, 34817, 75156, 92517 ]
59
4,483
[ 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1 ]
[ 0, 4, 4, 10, 15, 15, 36, 41, 52, 63, 81, 111, 120, 146, 184, 189, 220, 314, 600, 657, 798, 1732, 2374, 4377, 4695, 5410, 5749, 5954, 6695, 6813, 8850, 9302, 9462, 9659, 9726, 9751, 9948, 10216, 10833, 10934, 11394, 11912, 12655, 12802, 12957, 13550, 13585, 15034, 15210, 15290, 15497, 15805, 16622, 16760, 17483, 17890, 17920, 18214, 18961, 19038, 19112, 19371, 19390, 19496, 19514, 19798, 20013, 20247, 20706, 20743, 21472, 21939, 23158, 23869, 33371, 34511, 35680, 36080, 36672, 38146, 39723, 45189, 53083, 63165, 65679, 66344, 67076, 67239, 68818, 123047, 139390, 143068, 146986, 156834, 167382, 167835, 197052, 207160, 223019, 223084, 235022, 235186, 252561, 252561, 252743, 268547, 301136, 321129, 334769, 334827, 404065, 416745, 451023, 451859, 458557 ]
3
[ 0, 4, 0, 6, 5, 0, 21, 5, 11, 11, 18, 30, 9, 26, 38, 5, 31, 94, 286, 57, 141, 934, 642, 2003, 318, 715, 339, 205, 741, 118, 2037, 452, 160, 197, 67, 25, 197, 268, 617, 101, 460, 518, 743, 147, 155, 593, 35, 1449, 176, 80, 207, 308, 817, 138, 723, 407, 30, 294, 747, 77, 74, 259, 19, 106, 18, 284, 215, 234, 459, 37, 729, 467, 1219, 711, 9502, 1140, 1169, 400, 592, 1474, 1577, 5466, 7894, 10082, 2514, 665, 732, 163, 1579, 54229, 16343, 3678, 3918, 9848, 10548, 453, 29217, 10108, 15859, 65, 11938, 164, 17375, 0, 182, 15804, 32589, 19993, 13640, 58, 69238, 12680, 34278, 836, 6698 ]
115
4,484
[ 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 0, 4, 7, 8, 9, 9, 19, 23, 23, 23, 26, 36, 42, 46, 68, 70, 104, 107, 107, 129, 129, 130, 130, 132, 147, 147, 154, 156, 161, 184, 187, 195, 201, 204, 212, 249, 263, 274, 293, 302, 307, 333, 345, 423, 424, 462, 723, 767, 888, 1144, 1887, 2246, 2888, 2972, 3790, 5940, 5949, 5953, 5956, 5958, 5960, 5969, 6017, 6026, 6040, 6045, 6048, 6055, 6059, 6088, 6182, 6190, 6199, 6263, 6373, 6373, 7354, 7753, 7975, 8112, 8959, 10469, 11829, 11852, 14109, 14164, 15842, 17501, 18856, 21836, 24346, 59312, 64914, 65017, 66648, 73646, 74309, 82764, 85258, 92791, 101531, 104994, 109210, 109284, 136519, 149736, 158560, 187365, 190526, 191304, 275358, 314442, 342221, 344762, 350380, 360975, 415904, 431544, 517915, 529652 ]
3
[ 0, 4, 3, 1, 1, 0, 10, 4, 0, 0, 3, 10, 6, 4, 22, 2, 34, 3, 0, 22, 0, 1, 0, 2, 15, 0, 7, 2, 5, 23, 3, 8, 6, 3, 8, 37, 14, 11, 19, 9, 5, 26, 12, 78, 1, 38, 261, 44, 121, 256, 743, 359, 642, 84, 818, 2150, 9, 4, 3, 2, 2, 9, 48, 9, 14, 5, 3, 7, 4, 29, 94, 8, 9, 64, 110, 0, 981, 399, 222, 137, 847, 1510, 1360, 23, 2257, 55, 1678, 1659, 1355, 2980, 2510, 34966, 5602, 103, 1631, 6998, 663, 8455, 2494, 7533, 8740, 3463, 4216, 74, 27235, 13217, 8824, 28805, 3161, 778, 84054, 39084, 27779, 2541, 5618, 10595, 54929, 15640, 86371, 11737 ]
120
4,485
[ 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ]
[ 0, 243, 515, 556, 579, 589, 1573, 1773, 1887, 1897, 2630, 2660, 4292, 4324, 4347, 4387, 4744, 11085, 11100, 11130, 11133, 11135, 11257, 11294, 11325, 11354, 11613, 11632, 11675, 11680, 11726, 11736, 11797, 11830, 12302, 12411, 14129, 15986, 76328, 76346, 76397, 76706, 76763, 76946, 77774, 78611, 78619, 78643, 78643, 78646, 78649, 78676, 78685, 78687, 78711, 78711, 78720, 78729, 78753, 78800, 78805, 78837, 78867, 78899, 78906, 79062, 79126, 79238, 79436, 79449, 79463, 79477, 79477, 79508, 79517, 79613, 79622, 79674, 79750, 79760, 80251, 80266, 80274, 80294, 80381, 80438, 80560, 80833, 81841, 82147, 83613, 89246, 89419, 89438, 90111, 90123, 90147, 90159, 100103, 100134, 100139, 100142, 100148, 100149, 100161, 100165, 100193, 100219, 100238, 100258, 100303, 100373, 100390, 100471, 100473, 100582, 100757, 100806, 100910, 101005, 101073, 101144, 101345, 101766, 102603, 102642, 102732, 102734, 102764, 103309, 106515, 106563, 107246, 107284, 107384, 137118, 137172, 137844, 138305, 138330, 138351, 138381, 138395, 138591, 138625, 138668, 139021, 139195, 139425, 139490, 139494, 139764, 140174, 145688, 147006, 148411, 148433, 148436, 148568, 148591, 150202, 150235, 150428, 150493, 150526, 151474, 157377, 158648, 158671, 158790, 158803, 158825, 158828, 158932, 158936, 164930, 169269, 169388, 169755, 187944, 187962, 187972, 187980, 187982, 187986, 187987, 191139, 195186, 195218, 239275, 239288, 239295, 239303, 239312, 239319, 239332, 239379, 239407, 239416, 239682, 239759, 240264 ]
3
[ 0, 243, 272, 41, 23, 10, 984, 200, 114, 10, 733, 30, 1632, 32, 23, 40, 357, 6341, 15, 30, 3, 2, 122, 37, 31, 29, 259, 19, 43, 5, 46, 10, 61, 33, 472, 109, 1718, 1857, 60342, 18, 51, 309, 57, 183, 828, 837, 8, 24, 0, 3, 3, 27, 9, 2, 24, 0, 9, 9, 24, 47, 5, 32, 30, 32, 7, 156, 64, 112, 198, 13, 14, 14, 0, 31, 9, 96, 9, 52, 76, 10, 491, 15, 8, 20, 87, 57, 122, 273, 1008, 306, 1466, 5633, 173, 19, 673, 12, 24, 12, 9944, 31, 5, 3, 6, 1, 12, 4, 28, 26, 19, 20, 45, 70, 17, 81, 2, 109, 175, 49, 104, 95, 68, 71, 201, 421, 837, 39, 90, 2, 30, 545, 3206, 48, 683, 38, 100, 29734, 54, 672, 461, 25, 21, 30, 14, 196, 34, 43, 353, 174, 230, 65, 4, 270, 410, 5514, 1318, 1405, 22, 3, 132, 23, 1611, 33, 193, 65, 33, 948, 5903, 1271, 23, 119, 13, 22, 3, 104, 4, 5994, 4339, 119, 367, 18189, 18, 10, 8, 2, 4, 1, 3152, 4047, 32, 44057, 13, 7, 8, 9, 7, 13, 47, 28, 9, 266, 77, 505 ]
202
4,486
[ 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ]
[ 0, 2, 4, 7, 10, 13, 18, 21, 26, 41, 45, 54, 64, 69, 71, 84, 105, 107, 113, 120, 121, 133, 134, 135, 136, 140, 149, 150, 152, 155, 191, 195, 201, 213, 232, 244, 267, 282, 289, 295, 306, 356, 397, 401, 412, 454, 458, 650, 665, 677, 762, 784, 787, 997, 2060, 2496, 2630, 3164, 3649, 4398 ]
3
[ 0, 2, 2, 3, 3, 3, 5, 3, 5, 15, 4, 9, 10, 5, 2, 13, 21, 2, 6, 7, 1, 12, 1, 1, 1, 4, 9, 1, 2, 3, 36, 4, 6, 12, 19, 12, 23, 15, 7, 6, 11, 50, 41, 4, 11, 42, 4, 192, 15, 12, 85, 22, 3, 210, 1063, 436, 134, 534, 485, 749 ]
60
4,487
[ 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0 ]
[ 0, 86, 143, 172, 175, 178, 206, 326, 740, 743, 998, 1406, 1408, 1412, 1414, 1419, 1422, 1782, 1788, 1791, 1801, 1805, 1809, 3751, 3754, 3758, 3762, 3943, 3947, 3950, 3955, 3959, 4122, 4129, 4142, 4307, 4311, 4315, 4560, 4563, 4565, 4572, 4575, 4687, 4690, 5062, 5066, 5215, 5220, 5224, 5226, 5229, 5465, 5469, 7398, 7402, 7409, 7412, 7416, 7596, 7600, 7606, 7798, 7802, 7804, 7917, 7921, 7924, 7927, 7929, 7933, 7942, 7948, 7950, 8068, 8071, 8074, 8083, 8087, 8091, 8093, 8097, 8309, 8314, 8497, 8505, 8507, 8508, 8608, 8611, 8621, 8873, 8875, 9252, 9255, 9259, 9268, 9348, 9352, 9357, 9361, 9364, 9368, 9507, 9510, 9513, 9549, 9553, 9556, 9559, 9562, 9725, 9728, 9734, 9864, 9867, 9873, 10288, 10291, 10294, 10308, 10498, 10501, 10504, 10509, 10512, 10584, 10586, 10771, 10774, 10779, 10953, 10962, 10966, 10968, 10970, 11125, 11129, 11133, 11379, 11383, 11387, 11390, 11394, 11398, 11484, 11487, 11498, 11761, 11764, 11769, 11774, 11776, 11848, 11852, 11856, 11860, 12026, 12028, 12032, 12035, 12042, 12050, 12054, 12056, 12059, 12214, 12221, 12224, 12435, 12439, 12443, 12447, 12450, 12453, 12456, 12460, 14776 ]
3
[ 0, 86, 57, 29, 3, 3, 28, 120, 414, 3, 255, 408, 2, 4, 2, 5, 3, 360, 6, 3, 10, 4, 4, 1942, 3, 4, 4, 181, 4, 3, 5, 4, 163, 7, 13, 165, 4, 4, 245, 3, 2, 7, 3, 112, 3, 372, 4, 149, 5, 4, 2, 3, 236, 4, 1929, 4, 7, 3, 4, 180, 4, 6, 192, 4, 2, 113, 4, 3, 3, 2, 4, 9, 6, 2, 118, 3, 3, 9, 4, 4, 2, 4, 212, 5, 183, 8, 2, 1, 100, 3, 10, 252, 2, 377, 3, 4, 9, 80, 4, 5, 4, 3, 4, 139, 3, 3, 36, 4, 3, 3, 3, 163, 3, 6, 130, 3, 6, 415, 3, 3, 14, 190, 3, 3, 5, 3, 72, 2, 185, 3, 5, 174, 9, 4, 2, 2, 155, 4, 4, 246, 4, 4, 3, 4, 4, 86, 3, 11, 263, 3, 5, 5, 2, 72, 4, 4, 4, 166, 2, 4, 3, 7, 8, 4, 2, 3, 155, 7, 3, 211, 4, 4, 4, 3, 3, 3, 4, 2316 ]
178
4,488
[ 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1 ]
[ 0, 3, 102, 112, 142, 149, 150, 152, 168, 171, 179, 183, 192, 227, 230, 258, 277, 283, 284, 286, 292, 296, 299, 309, 350, 373, 376, 388, 399, 416, 436, 447, 526, 541, 554, 564, 570, 584, 590, 609, 660, 693, 694, 709, 755, 781, 782, 908, 948, 1099, 1171, 1369, 1551, 1608, 1681, 1765, 1775, 1970, 2051, 2061, 3004, 3107, 3298, 3936, 4134, 5288, 5980, 7310, 7501, 7721, 8203, 8987, 10874, 11407, 14456, 16558, 18727, 27121, 38789, 41508, 44253, 44349, 45097, 48527, 55705, 58359, 59563, 60930, 67655, 67656, 67735, 67950, 67989, 68199, 79035, 89425, 91751, 96432, 100021, 101779, 181833, 199253, 199523, 280829, 314692, 331630, 365587, 377596, 405723, 540814 ]
3
[ 0, 3, 99, 10, 30, 7, 1, 2, 16, 3, 8, 4, 9, 35, 3, 28, 19, 6, 1, 2, 6, 4, 3, 10, 41, 23, 3, 12, 11, 17, 20, 11, 79, 15, 13, 10, 6, 14, 6, 19, 51, 33, 1, 15, 46, 26, 1, 126, 40, 151, 72, 198, 182, 57, 73, 84, 10, 195, 81, 10, 943, 103, 191, 638, 198, 1154, 692, 1330, 191, 220, 482, 784, 1887, 533, 3049, 2102, 2169, 8394, 11668, 2719, 2745, 96, 748, 3430, 7178, 2654, 1204, 1367, 6725, 1, 79, 215, 39, 210, 10836, 10390, 2326, 4681, 3589, 1758, 80054, 17420, 270, 81306, 33863, 16938, 33957, 12009, 28127, 135091 ]
110
4,489
[ 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1 ]
[ 0, 20, 21, 28, 29, 65, 94, 97, 100, 100, 127, 129, 130, 171, 245, 272, 309, 342, 349, 352, 443, 455, 537, 550, 562, 578, 636, 697, 705, 726, 743, 764, 810, 816, 851, 873, 957, 1019, 1026, 1057, 1100, 1156, 1236, 1323, 1391, 1500, 1633, 1728, 1756, 1920, 1991, 2086, 2271, 2341, 2498, 2832, 3037, 3099, 3126, 3230, 3258, 3316, 3409, 3460, 3494, 3539, 3540, 3718, 3822, 4185, 4244, 4266, 4340, 4438, 4586, 4619, 4905, 5105, 5674, 5791, 6216, 6733, 7347, 8415, 8709, 9252, 9497, 9941, 10004, 10084, 10152, 10251, 10375, 10954, 10990, 11060, 11624, 12602, 14968, 15055, 15448, 15698, 17564, 18199, 18385, 20036, 20053, 20075, 20110, 20118, 20140, 20200, 20241, 20269, 20273, 20288, 20311, 20323, 20485, 20938, 23244, 23261, 23297, 23309, 23464, 23809, 23824, 23912, 23921, 24094, 24103, 24185, 24825, 25175, 25291, 26836, 27359, 28403, 30241, 31914, 32043, 33896, 37418, 37507, 37628, 38657, 39109, 42679, 45586, 46129, 58427, 62414, 89174, 89268, 90045, 91115, 91970, 93440, 103127, 170955, 171003, 218934 ]
3
[ 0, 20, 1, 7, 1, 36, 29, 3, 3, 0, 27, 2, 1, 41, 74, 27, 37, 33, 7, 3, 91, 12, 82, 13, 12, 16, 58, 61, 8, 21, 17, 21, 46, 6, 35, 22, 84, 62, 7, 31, 43, 56, 80, 87, 68, 109, 133, 95, 28, 164, 71, 95, 185, 70, 157, 334, 205, 62, 27, 104, 28, 58, 93, 51, 34, 45, 1, 178, 104, 363, 59, 22, 74, 98, 148, 33, 286, 200, 569, 117, 425, 517, 614, 1068, 294, 543, 245, 444, 63, 80, 68, 99, 124, 579, 36, 70, 564, 978, 2366, 87, 393, 250, 1866, 635, 186, 1651, 17, 22, 35, 8, 22, 60, 41, 28, 4, 15, 23, 12, 162, 453, 2306, 17, 36, 12, 155, 345, 15, 88, 9, 173, 9, 82, 640, 350, 116, 1545, 523, 1044, 1838, 1673, 129, 1853, 3522, 89, 121, 1029, 452, 3570, 2907, 543, 12298, 3987, 26760, 94, 777, 1070, 855, 1470, 9687, 67828, 48, 47931 ]
162
4,490
[ 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0 ]
[ 0, 16, 24, 41, 62, 63, 103, 120, 123, 160, 171, 212, 215, 268, 387, 396, 424, 497, 507, 560, 597, 597, 654, 668, 725, 790, 981, 995, 1065, 1093, 1136, 1304, 2141, 2474, 2685, 2833, 2890, 3003, 3132, 4693, 5179, 5341, 5483, 5667, 5667, 5932, 7360, 7835, 7935, 8514, 9088, 9357, 10227, 12318, 12860, 13292, 13313, 14400, 14986, 16071, 16825, 17154, 18099, 20150, 21291, 23535, 24967, 28158, 63131, 98749, 110641, 148600, 204862, 301398, 305585, 310815 ]
3
[ 0, 16, 8, 17, 21, 1, 40, 17, 3, 37, 11, 41, 3, 53, 119, 9, 28, 73, 10, 53, 37, 0, 57, 14, 57, 65, 191, 14, 70, 28, 43, 168, 837, 333, 211, 148, 57, 113, 129, 1561, 486, 162, 142, 184, 0, 265, 1428, 475, 100, 579, 574, 269, 870, 2091, 542, 432, 21, 1087, 586, 1085, 754, 329, 945, 2051, 1141, 2244, 1432, 3191, 34973, 35618, 11892, 37959, 56262, 96536, 4187, 5230 ]
76
4,491
[ 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0 ]
[ 0, 1, 2, 5, 5, 6, 7, 7, 8, 12, 12, 13, 14, 15, 18, 19, 21, 21, 21, 24, 25, 26, 26, 30, 31, 32, 36, 37, 40, 41, 44, 45, 46, 48, 48, 49, 50, 51, 56, 58, 58, 59, 63, 66, 74, 78, 80, 80, 83, 83, 84, 84, 89, 90, 93, 98, 99, 100, 101, 104, 108, 109, 111, 111, 114, 115, 123, 128, 129, 136, 138, 139, 146, 146, 147, 154, 155, 160, 161, 174, 178, 184, 187, 192, 193, 193, 200, 201, 220, 241, 244, 251, 287, 295, 297, 359, 362, 394, 446, 728, 789, 874, 1092, 1712, 2074, 3684 ]
3
[ 0, 1, 1, 3, 0, 1, 1, 0, 1, 4, 0, 1, 1, 1, 3, 1, 2, 0, 0, 3, 1, 1, 0, 4, 1, 1, 4, 1, 3, 1, 3, 1, 1, 2, 0, 1, 1, 1, 5, 2, 0, 1, 4, 3, 8, 4, 2, 0, 3, 0, 1, 0, 5, 1, 3, 5, 1, 1, 1, 3, 4, 1, 2, 0, 3, 1, 8, 5, 1, 7, 2, 1, 7, 0, 1, 7, 1, 5, 1, 13, 4, 6, 3, 5, 1, 0, 7, 1, 19, 21, 3, 7, 36, 8, 2, 62, 3, 32, 52, 282, 61, 85, 218, 620, 362, 1610 ]
106
4,492
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1 ]
[ 0, 13, 16, 25, 29, 49, 54, 56, 59, 64, 67, 69, 71, 71, 77, 77, 82, 82, 87, 87, 103, 103, 109, 109, 116, 116, 121, 121, 140, 140, 155, 179, 203, 212, 214, 231, 242, 250, 268, 285, 286, 288, 292, 306, 310, 319, 325, 363, 367, 372, 400, 422, 481, 504, 630, 652, 677, 691, 691, 750, 760, 763, 779, 802, 837, 841, 877, 886, 912, 969, 990, 1048, 1084, 1100, 1124, 1134, 1138, 1140, 1153, 1282, 1354, 1357, 1408, 1432, 1486, 1598, 1622, 1631, 2011, 2222, 2915, 2961, 3106, 3247, 3565, 3694, 4082, 4166, 4529, 4571, 5184, 5428, 5901, 9605, 9649, 13789, 14995, 18445, 42073, 46631, 58921, 63763, 79954, 164351, 165896, 360503 ]
3
[ 0, 13, 3, 9, 4, 20, 5, 2, 3, 5, 3, 2, 2, 0, 6, 0, 5, 0, 5, 0, 16, 0, 6, 0, 7, 0, 5, 0, 19, 0, 15, 24, 24, 9, 2, 17, 11, 8, 18, 17, 1, 2, 4, 14, 4, 9, 6, 38, 4, 5, 28, 22, 59, 23, 126, 22, 25, 14, 0, 59, 10, 3, 16, 23, 35, 4, 36, 9, 26, 57, 21, 58, 36, 16, 24, 10, 4, 2, 13, 129, 72, 3, 51, 24, 54, 112, 24, 9, 380, 211, 693, 46, 145, 141, 318, 129, 388, 84, 363, 42, 613, 244, 473, 3704, 44, 4140, 1206, 3450, 23628, 4558, 12290, 4842, 16191, 84397, 1545, 194607 ]
116
4,493
[ 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0 ]
[ 0, 4, 17, 23, 30, 34, 35, 38, 42, 43, 46, 46, 49, 52, 61, 69, 73, 79, 80, 96, 100, 102, 111, 112, 116, 119, 128, 132, 139, 151, 163, 173, 240, 252, 253, 255, 272, 276, 278, 283, 295, 305, 307, 326, 330, 366, 376, 388, 406, 408, 409, 416, 429, 1281, 1338, 1379, 1545, 3237, 3635, 3816, 4332, 4805, 9362, 11214, 14198, 36244, 37779, 42663, 54526, 64272, 78348, 78473, 80600, 82236, 92740, 167113, 227202, 594588 ]
3
[ 0, 4, 13, 6, 7, 4, 1, 3, 4, 1, 3, 0, 3, 3, 9, 8, 4, 6, 1, 16, 4, 2, 9, 1, 4, 3, 9, 4, 7, 12, 12, 10, 67, 12, 1, 2, 17, 4, 2, 5, 12, 10, 2, 19, 4, 36, 10, 12, 18, 2, 1, 7, 13, 852, 57, 41, 166, 1692, 398, 181, 516, 473, 4557, 1852, 2984, 22046, 1535, 4884, 11863, 9746, 14076, 125, 2127, 1636, 10504, 74373, 60089, 367386 ]
78
4,494
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1 ]
[ 0, 3, 4, 5, 11, 17, 20, 26, 26, 28, 34, 38, 38, 38, 41, 51, 61, 65, 78, 80, 81, 82, 85, 98, 105, 123, 131, 139, 189, 199, 201, 206, 264, 293, 348, 387, 415, 425, 449, 491, 554, 564, 625, 746, 768, 839, 841, 887, 889, 894, 900, 920, 976, 1166, 1177, 1198, 1246, 1291, 1625, 1794, 2103, 2244, 2251, 2409, 2420, 2514, 2573, 2655, 2855, 2898, 2967, 3028, 3510, 3797, 4042, 4508, 4754, 5411, 6980, 8743, 8811, 9156, 10245, 14538, 15888, 20193, 21027, 24690, 29067, 42389, 209052 ]
3
[ 0, 3, 1, 1, 6, 6, 3, 6, 0, 2, 6, 4, 0, 0, 3, 10, 10, 4, 13, 2, 1, 1, 3, 13, 7, 18, 8, 8, 50, 10, 2, 5, 58, 29, 55, 39, 28, 10, 24, 42, 63, 10, 61, 121, 22, 71, 2, 46, 2, 5, 6, 20, 56, 190, 11, 21, 48, 45, 334, 169, 309, 141, 7, 158, 11, 94, 59, 82, 200, 43, 69, 61, 482, 287, 245, 466, 246, 657, 1569, 1763, 68, 345, 1089, 4293, 1350, 4305, 834, 3663, 4377, 13322, 166663 ]
91
4,495
[ 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1 ]
[ 0, 4, 5, 15, 18, 18, 22, 24, 31, 34, 44, 45, 59, 60, 61, 66, 73, 88, 89, 90, 111, 112, 112, 122, 132, 132, 135, 142, 160, 177, 185, 214, 231, 237, 276, 330, 346, 370, 436, 439, 467, 492, 537, 546, 554, 567, 590, 592, 603, 690, 725, 779, 821, 869, 880, 948, 1003, 1190, 1301, 1310, 1659, 1676, 1821, 2362, 2631, 2842, 3187, 6921, 7091, 7149, 7329, 7415, 10895, 11150, 92725 ]
3
[ 0, 4, 1, 10, 3, 0, 4, 2, 7, 3, 10, 1, 14, 1, 1, 5, 7, 15, 1, 1, 21, 1, 0, 10, 10, 0, 3, 7, 18, 17, 8, 29, 17, 6, 39, 54, 16, 24, 66, 3, 28, 25, 45, 9, 8, 13, 23, 2, 11, 87, 35, 54, 42, 48, 11, 68, 55, 187, 111, 9, 349, 17, 145, 541, 269, 211, 345, 3734, 170, 58, 180, 86, 3480, 255, 81575 ]
75
4,496
[ 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1 ]
[ 0, 12, 16, 16, 23, 25, 26, 51, 65, 66, 74, 75, 123, 179, 207, 238, 281, 302, 359, 373, 377, 403, 413, 429, 439, 489, 517, 640, 724, 815, 1061, 1117, 1147, 1158, 3158, 3533, 6031, 37250, 38790, 51033, 51033, 51038, 51043, 51072, 51075, 51100, 51130, 51145, 51154, 51154, 51174, 51204, 51237, 51237, 51338, 51789, 52045, 52057, 52060, 52080, 52115, 52118, 52129, 52160, 52192, 52222, 52253, 52255, 52407, 52666, 53631, 53698, 53703, 53725, 53758, 53762, 53793, 53836, 54024, 54544, 55080, 55089, 55105, 55114, 55213, 55239, 56964, 75825, 79328, 84721, 84730, 84748, 84759, 84767, 84783, 84836, 84860, 84884, 84888, 84933, 87620 ]
3
[ 0, 12, 4, 0, 7, 2, 1, 25, 14, 1, 8, 1, 48, 56, 28, 31, 43, 21, 57, 14, 4, 26, 10, 16, 10, 50, 28, 123, 84, 91, 246, 56, 30, 11, 2000, 375, 2498, 31219, 1540, 12243, 0, 5, 5, 29, 3, 25, 30, 15, 9, 0, 20, 30, 33, 0, 101, 451, 256, 12, 3, 20, 35, 3, 11, 31, 32, 30, 31, 2, 152, 259, 965, 67, 5, 22, 33, 4, 31, 43, 188, 520, 536, 9, 16, 9, 99, 26, 1725, 18861, 3503, 5393, 9, 18, 11, 8, 16, 53, 24, 24, 4, 45, 2687 ]
101
4,497
[ 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8, 9, 22, 38, 61, 62, 73, 75, 152, 160, 175, 209, 240, 244, 295, 304, 304, 448, 448, 460, 503, 575, 813, 816, 946, 1126, 1375, 1395, 1432, 1510, 1599, 1703, 2141, 2299, 2750, 3575, 3634, 4435, 4569, 5852, 5879, 6489, 7699, 10244, 24280, 27607, 28504, 29221, 31050, 31500, 31931, 32287, 32349, 32924, 33287, 33530, 33530, 36414, 41874, 42412, 43700, 44636, 49699, 50135, 54999, 74634, 93195, 134836, 232852, 258239, 258782 ]
3
[ 0, 8, 1, 13, 16, 23, 1, 11, 2, 77, 8, 15, 34, 31, 4, 51, 9, 0, 144, 0, 12, 43, 72, 238, 3, 130, 180, 249, 20, 37, 78, 89, 104, 438, 158, 451, 825, 59, 801, 134, 1283, 27, 610, 1210, 2545, 14036, 3327, 897, 717, 1829, 450, 431, 356, 62, 575, 363, 243, 0, 2884, 5460, 538, 1288, 936, 5063, 436, 4864, 19635, 18561, 41641, 98016, 25387, 543 ]
72
4,498
[ 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0 ]
[ 0, 13, 21, 24, 28, 30, 31, 34, 51, 53, 54, 54, 69, 79, 81, 85, 92, 96, 106, 111, 112, 121, 126, 128, 128, 131, 138, 143, 158, 178, 189, 192, 200, 206, 212, 214, 230, 237, 240, 257, 310, 350, 384, 418, 473, 477, 491, 575, 606, 616, 638, 684, 703, 789, 796, 828, 829, 999, 1039, 1139, 1302, 1510, 1670, 1768, 1771, 1942, 2016, 2064, 2114, 2217, 2224, 2253, 2254, 2318, 2411, 2462, 2463, 2525, 2721, 2906, 2960, 3110, 3837, 4530, 4536, 4548, 5539, 5844, 5870, 6499, 6517, 6640, 6900, 7902, 8259, 9580, 9980, 10547, 10734, 10900, 11849, 12371, 12386, 12408, 12422, 12855, 13042, 13108, 13321, 13365, 13687, 14014, 14761, 14888, 15086, 15121, 15435, 15934, 16455, 16967, 16994, 17063, 17287, 17386, 18678, 19479, 20029, 20528, 20909, 22167, 22381, 23326, 24025, 27242, 27651, 31713, 32977, 33458, 34425, 35258, 38550, 41062, 46712, 50972, 54817, 55865, 58664, 65980, 66545, 67440, 70950, 74316, 105167, 119675, 127373, 156665, 219911, 470226, 470609 ]
3
[ 0, 13, 8, 3, 4, 2, 1, 3, 17, 2, 1, 0, 15, 10, 2, 4, 7, 4, 10, 5, 1, 9, 5, 2, 0, 3, 7, 5, 15, 20, 11, 3, 8, 6, 6, 2, 16, 7, 3, 17, 53, 40, 34, 34, 55, 4, 14, 84, 31, 10, 22, 46, 19, 86, 7, 32, 1, 170, 40, 100, 163, 208, 160, 98, 3, 171, 74, 48, 50, 103, 7, 29, 1, 64, 93, 51, 1, 62, 196, 185, 54, 150, 727, 693, 6, 12, 991, 305, 26, 629, 18, 123, 260, 1002, 357, 1321, 400, 567, 187, 166, 949, 522, 15, 22, 14, 433, 187, 66, 213, 44, 322, 327, 747, 127, 198, 35, 314, 499, 521, 512, 27, 69, 224, 99, 1292, 801, 550, 499, 381, 1258, 214, 945, 699, 3217, 409, 4062, 1264, 481, 967, 833, 3292, 2512, 5650, 4260, 3845, 1048, 2799, 7316, 565, 895, 3510, 3366, 30851, 14508, 7698, 29292, 63246, 250315, 383 ]
159
4,499
[ 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ]